AMC 10 Step by Step
2021 AMC Fall 10BProblem 8P1-10~2 minPrint

The greatest prime number that is a divisor of 16,38416{,}384 is 22 because 16,384=21416{,}384 = 2^{14} . What is the sum of the digits of the greatest prime number that is a divisor of 16,38316{,}383 ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.