An integer $N$ is selected at random in the range $1\leq N \leq 2020$. Find the probability that the remainder when $N^{16}$ is divided by $5$ is $1$. Express your answer as a fraction \frac{k}{m} in its simplest form, and then give the value of k + m.

Let's think step by step and output the final answer within \boxed{}.
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