115,132,219,018,763,992,565,095,597,973,971,522,400

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Number

$115 \, 132 \, 219 \, 018 \, 763 \, 992 \, 565 \, 095 \, 597 \, 973 \, 971 \, 522 \, 400$ is:

$2^5 \times 5^2 \times 19 \times 2237 \times 102 \, 351 \, 435 \, 827 \times 33 \, 082 \, 122 \, 361 \, 353 \, 352 \, 663$


The $87$th pluperfect digital invariant :
\(\ds \qquad \ \ \) \(\ds \) \(\) \(\ds 115 \, 132 \, 219 \, 018 \, 763 \, 992 \, 565 \, 095 \, 597 \, 973 \, 971 \, 522 \, 400\)
\(\ds \) \(=\) \(\ds 1^{39} + 1^{39} + 5^{39} + 1^{39} + 3^{39} + 2^{39} + 2^{39} + 1^{39} + 9^{39} + 0^{39} + 1^{39} + 8^{39} + 7^{39}\)
\(\ds \) \(\) \(\, \ds + \, \) \(\ds 6^{39} + 3^{39} + 9^{39} + 9^{39} + 2^{39} + 5^{39} + 6^{39} + 5^{39} + 0^{39} + 9^{39} + 5^{39} + 5^{39} + 9^{39}\)
\(\ds \) \(\) \(\, \ds + \, \) \(\ds 7^{39} + 9^{39} + 7^{39} + 3^{39} + 9^{39} + 7^{39} + 1^{39} + 5^{39} + 2^{39} + 2^{39} + 4^{39} + 0^{39} + 0^{39}\)


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