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 \(a, b \lt 100\), what is the maximum digital sum?
Another large digital sum problem, just like Problems 16 and 20 (the former of which has an almost identical title). Next.
p56 = lambda C=100: max(sum(map(int, str(x**y))) for x in range(C) for y in range(C))