AMC 10 2021-fall-b Problem 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 $m+k?$ $(\textbf{A})\: 47 (\textbf{B}) \: 58 (\textbf{C}) \: 59 (\textbf{D}) \: 88 (\textbf{E}) \: 90$