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130774286362464 = 2532755536010051
BaseRepresentation
bin11101101111000001000010…
…111000100110011101100000
3122011000220021212101220021200
4131233001002320212131200
5114120101214302044324
61142044513333521200
736355062504201303
oct3557010270463540
9564026255356250
10130774286362464
113873a077411508
1212800b23aa3200
1357c7c681c2804
14244171b492b3a
15101bb151eeec9
hex76f042e26760

130774286362464 has 72 divisors (see below), whose sum is σ = 371894360953752. Its totient is φ = 43590844569600.

The previous prime is 130774286362301. The next prime is 130774286362481. The reversal of 130774286362464 is 464263682477031.

130774286362464 is a `hidden beast` number, since 1 + 3 + 0 + 77 + 42 + 8 + 6 + 3 + 62 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1307742863624642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18754239 + ... + 24764289.

It is an arithmetic number, because the mean of its divisors is an integer number (5165199457691).

Almost surely, 2130774286362464 is an apocalyptic number.

It is an amenable number.

130774286362464 is an abundant number, since it is smaller than the sum of its proper divisors (241120074591288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130774286362464 is a wasteful number, since it uses less digits than its factorization.

130774286362464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085620 (or 6085609 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 130774286362464 in words is "one hundred thirty trillion, seven hundred seventy-four billion, two hundred eighty-six million, three hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 75553 151106 226659 302212 453318 604424 679977 906636 1208848 1359954 1813272 2417696 2719908 3626544 5439816 6010051 7253088 10879632 12020102 18030153 21759264 24040204 36060306 48080408 54090459 72120612 96160816 108180918 144241224 192321632 216361836 288482448 432723672 576964896 865447344 1730894688 454077383203 908154766406 1362232149609 1816309532812 2724464299218 3632619065624 4086696448827 5448928598436 7265238131248 8173392897654 10897857196872 14530476262496 16346785795308 21795714393744 32693571590616 43591428787488 65387143181232 130774286362464