MathNet 2021 — Part 09 Question 67

Question 67

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 $m + k$?

$47$
$58$
$59$
$88$
$90$