How do I generate the shortest database identifier names from a number?

Question

Because I am writing software which generates SQL with a potentially large number of parameters and records that SQL onto disk, I have an uncommon requirement (perhaps more a curiosity): Generate the shortest possible unique parameter names.

Parameter names follow identifier naming rules which are usually:

1. First character is alphabetic
2. Subsequent characters can be alphanumeric or certain other characters, such as an underscore.
3. Almost anything can be used if quoted (ignored -- a quoted identifier is at least three characters total, e.g. [_])

The SQL generation code knows how many identifiers there are total, so names can be generated based on an integer.

Answer 1

Code above produces collisions. Fixed code without collisions and magic numbers.

    public static String intToDatabaseIdentifier(int number)
    {
        const string abcFirst = "abcdefghijklmnopqrstuvwxyz";
        const string abcFull = "abcdefghijklmnopqrstuvwxyz0123456789";
        if (number < 0 || number > 1000000)
            throw new ArgumentOutOfRangeException("number");
        var stack = new Stack<char>();
        //Get first symbol. We will later reverse string. So last - will be first. 
        stack.Push(abcFirst[number % abcFirst.Length]);
        number = number / abcFirst.Length;
        //Collect remaining part
        while (number > 0)
        {
            int index = (number - 1) % abcFull.Length;
            stack.Push(abcFull[index]);
            number = (number - index) / abcFull.Length;
        }
        //Reversing to guarantee first non numeric.
        return new String(stack.Reverse().ToArray());
    }