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AIME 2020a Problem 12

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Let nn be the least positive integer for which 149n−2n149^n-2^n is divisible by 33⋅55⋅77.3^3\cdot5^5\cdot7^7. Find the number of positive integer divisors of n.n.

Dataset text AIME 1983 to 2026. Quoted with source.

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270

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