AMC 10 Step by Step
2021 AMC Fall 10BProblem 6P1-10~3 minPrint

The least positive integer with exactly 20212021 distinct positive divisors can be written in the form m6km \cdot 6^k , where mm and kk are integers and 66 is not a divisor of mm . What is m+k?m+k?

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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.