Solution to Project Euler 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^b, where a, b < 100, what is the maximum digital sum?


Updated: July 24, 2021 — Training Time: 2 minutes
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Topic: Project Euler Problem 56: Powerful digit sum.

Difficulty: Easy.

Objective: A googol (10100) is a massive number: one followed by one-hundred zeros; 100100 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, ab, where a, b < 100, what is the maximum digital sum?

Input: None.

Expected Output: 972.

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