# Power of 2 - Part 2

Let the remainder when $2^{7,812,530}$ is divided by $10,000,000,000$ be $N$. Find the digit sum of $N$.

$Notes$ $and$ $Assumptions:$ The digit sum of a number is the sum of the number's digits. For instance, $2014$ has a digit sum of $7$ because $2+0+1+4=7$

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