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258080640238764 = 223271760242913221
BaseRepresentation
bin111010101011100100010100…
…111000101000010010101100
31020211210021020120000022001100
4322223210110320220102230
5232311343122400120024
62312520335343043100
7105234465565550130
oct7253442470502254
91224707216008040
10258080640238764
11752614262a25a2
1224b419102a0490
13b100b91254b05
1447a32536a53c0
151ec840a44d7c9
hexeab914e284ac

258080640238764 has 72 divisors (see below), whose sum is σ = 789423134861088. Its totient is φ = 69399836029440.

The previous prime is 258080640238763. The next prime is 258080640238769. The reversal of 258080640238764 is 467832046080852.

258080640238764 is a `hidden beast` number, since 2 + 5 + 80 + 80 + 6 + 40 + 2 + 387 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (258080640238763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30121452327 + ... + 30121460894.

It is an arithmetic number, because the mean of its divisors is an integer number (10964210206404).

Almost surely, 2258080640238764 is an apocalyptic number.

It is an amenable number.

258080640238764 is an abundant number, since it is smaller than the sum of its proper divisors (531342494622324).

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

258080640238764 is a wasteful number, since it uses less digits than its factorization.

258080640238764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60242913255 (or 60242913250 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 258080640238764 in words is "two hundred fifty-eight trillion, eighty billion, six hundred forty million, two hundred thirty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 60242913221 120485826442 180728739663 240971652884 361457479326 421700392547 542186218989 722914958652 843400785094 1024129524757 1084372437978 1265101177641 1686801570188 2048259049514 2168744875956 2530202355282 3072388574271 3795303532923 4096518099028 5060404710564 6144777148542 7168906673299 7590607065846 9217165722813 12289554297084 14337813346598 15181214131692 18434331445626 21506720019897 28675626693196 36868662891252 43013440039794 64520160059691 86026880079588 129040320119382 258080640238764