My first problem in number theory

a 2 + b 2 + c 2 + d 2 + g 2 = 2016 { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 }+{ d }^{ 2 }+{ g }^{ 2 }=2016

if the number of integral solution pairs a , b , c , d , g a,b,c,d,g satisfying the above equation is x x ,enter your answer as x 5 \frac{x}{5}


The answer is 183520.

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