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476680048431368 = 23172310312301120277
BaseRepresentation
bin110110001100010011011100…
…0111101010101000100001000
32022111210011112011112010200012
41230120212320331111010020
5444434411214344300433
64405451442515331052
7202255665654251525
oct15430467075250410
92274704464463605
10476680048431368
11128980967352a71
12455679538b0a88
13175c9974402c62
14859d61a4c814c
153a1981e2b3848
hex1b189b8f55108

476680048431368 has 128 divisors (see below), whose sum is σ = 997172437547520. Its totient is φ = 212464763596800.

The previous prime is 476680048431247. The next prime is 476680048431383. The reversal of 476680048431368 is 863134840086674.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 476680048431298 and 476680048431307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963125246 + ... + 3963245522.

It is an arithmetic number, because the mean of its divisors is an integer number (7790409668340).

Almost surely, 2476680048431368 is an apocalyptic number.

It is an amenable number.

476680048431368 is an abundant number, since it is smaller than the sum of its proper divisors (520492389116152).

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

476680048431368 is a wasteful number, since it uses less digits than its factorization.

476680048431368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132727 (or 132723 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 68.

The spelling of 476680048431368 in words is "four hundred seventy-six trillion, six hundred eighty billion, forty-eight million, four hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 17 23 34 46 68 92 103 136 184 206 391 412 782 824 1564 1751 2369 3128 3502 4738 7004 9476 12301 14008 18952 24602 40273 49204 80546 98408 120277 161092 209117 240554 282923 322184 418234 481108 565846 836468 962216 1131692 1267003 1672936 2044709 2263384 2534006 2766371 4089418 4809691 5068012 5532742 8178836 9619382 10136024 11065484 12388531 16357672 19238764 21539051 22130968 24777062 29141069 38477528 43078102 47028307 49554124 58282138 86156204 94056614 99108248 116564276 172312408 188113228 210605027 233128552 284936213 376226456 421210054 495398173 569872426 842420108 990796346 1139744852 1479527377 1684840216 1981592692 2279489704 2959054754 3963185384 4843915621 5918109508 9687831242 11836219016 19375662484 25151965409 34029129671 38751324968 50303930818 68058259342 100607861636 136116518684 152391319831 201215723272 272233037368 304782639662 578495204407 609565279324 1156990408814 1219130558648 2313980817628 2590652437127 3505000356113 4627961635256 5181304874254 7010000712226 10362609748508 14020001424452 20725219497016 28040002848904 59585006053921 119170012107842 238340024215684 476680048431368