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130582249474677 = 37111345119963761
BaseRepresentation
bin11101101100001110001100…
…100110000000101001110101
3122010100112121111010020011020
4131230032030212000221311
5114103424421331142202
61141420353544531353
736335153605451010
oct3554161446005165
9563315544106136
10130582249474677
1138675691613390
121278b86b180b59
1357b2b1289c670
142436300bd6377
151016b25ddb5bc
hex76c38c980a75

130582249474677 has 64 divisors (see below), whose sum is σ = 233775045181440. Its totient is φ = 62615410099200.

The previous prime is 130582249474609. The next prime is 130582249474709. The reversal of 130582249474677 is 776474942285031.

It is not a de Polignac number, because 130582249474677 - 27 = 130582249474549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130582249474177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135010477 + ... + 135974237.

It is an arithmetic number, because the mean of its divisors is an integer number (3652735080960).

It is a 1-persistent number, because it is pandigital, but 2⋅130582249474677 = 261164498949354 is not.

Almost surely, 2130582249474677 is an apocalyptic number.

It is an amenable number.

130582249474677 is a deficient number, since it is larger than the sum of its proper divisors (103192795706763).

130582249474677 is a wasteful number, since it uses less digits than its factorization.

130582249474677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008914.

The product of its (nonzero) digits is 568995840, while the sum is 69.

The spelling of 130582249474677 in words is "one hundred thirty trillion, five hundred eighty-two billion, two hundred forty-nine million, four hundred seventy-four thousand, six hundred seventy-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 45119 135357 315833 496309 586547 947499 963761 1488927 1759641 2891283 3474163 4105829 6452017 6746327 10422489 10601371 12317487 12528893 19356051 20238981 31804113 37586679 45164119 74209597 87702251 135492357 137817823 222628791 263106753 413453469 964724761 2894174283 43483932559 130451797677 304387527913 478323258149 565291123267 913162583739 1434969774447 1695873369801 3348262807043 3957037862869 6218202355937 10044788421129 11871113588607 18654607067811 43527416491559 130582249474677