http://projecteuler.net/problem=56

**Powerful digit sum**

A googol (10

^{100}) is a massive number: one followed by one-hundred zeros; 100^{100}is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.Considering natural numbers of the form,

a, where^{b}a, b100, what is the maximum digital sum?