2016 year is still messing with new problems

\[ \sum_{ i=0 }^{2016} \binom{2016}{i} \]

The expression above can be presented in the form \(x^y\), where \(x,y\) are positive integers. Among all such solutions, take the one with the smallest \(|x-y|,\) and enter your answer as \(x+y.\)

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