Sum of Some Squared Divisors

Let 1=d1<d2<<dk=N1 = d_1 < d_2 < \ldots < d_k =N be all the divisors of NN arranged in increasing order. Given that N=d12+d22+d32+d42N = d_1 ^2 + d_2 ^2 + d_3 ^2 + d_4 ^2 , determine NN.

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