If N and x are positive integers such that NN&nbsp;= 2160&nbsp;and N2&nbsp;+ 2N&nbsp;is an integral multiple of 2x, then the largest possible x is&nbsp;

If N and x are positive integers such that N^N = 2¹⁶⁰ and N² + 2^N is an integral multiple of 2^x, then the largest possible x is

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