data/problems/56.yml
---
:id: 56
:name: Powerful digit sum
:url: https://projecteuler.net/problem=56
:content: |+
A googol (10<sup>100</sup>) is a massive number: one followed by one-hundred zeros; 100<sup>100</sup> 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<sup>b</sup>_, where _a, b_ \< 100, what is the maximum digital sum?