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MathNet 2024-part-03 — 168 problems (EN–VI) Question 63

Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)

Question 63

Let $N$ be the largest number obtainable as a product of pairwise distinct positive integers whose sum is $2024$. How many digits "0" does the decimal representation of $N$ end with?

(A) 9
(B) 10
(C) 12
(D) 13
(E) 14