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2021 AMC 10D Question 6

AMC10 · 2021 AMC 10D

Question 6

The least positive integer with exactly $2021$ distinct positive divisors can be written in the form $m \cdot 6^k,$ where $m$ and $k$ are integers and $6$ is not a divisor of $m.$ What is $m+k?$
  1. $ 47 $
  2. $ 58 $
  3. $ 59 $
  4. $ 88 $
  5. $ 90 $