Derivative of zeta function for year 2016

Calculus Level 5

\[ \mathfrak{A} = \zeta '(-2016)\] If \( \mathfrak{A} \) can be represented in the form \[ a! \dfrac{\zeta(b) }{c^{2017} \pi^{d}} \] where \(a \) is maximum, find \( a+b+c+d \).

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