Problem

2024 Mock AMC 12 - Problem 9

Find the sum of the digits of N, if N is the number of positive integer divisors of 202^{49999} (including itself) that are not divisors of 202^{49998}.

\textbf{(A) }1\qquad\textbf{(B) }44\qquad\textbf{(C) }45\qquad\textbf{(D) }40\qquad\textbf{(E) }5


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