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57167353345102 = 27112134273607517
BaseRepresentation
bin11001111111110010011111…
…10010011111010001001110
321111102010221010222000122221
430333321033302133101032
524443112214424020402
6321330153005525554
715020130210562420
oct1477711762372116
9244363833860587
1057167353345102
11172405a1682600
1264b34bab738ba
1325b8b20878aa0
141018cb3bac810
156920c2660337
hex33fe4fc9f44e

57167353345102 has 96 divisors (see below), whose sum is σ = 116033818977216. Its totient is φ = 20554842147840.

The previous prime is 57167353345097. The next prime is 57167353345159. The reversal of 57167353345102 is 20154335376175.

It is a self number, because there is not a number n which added to its sum of digits gives 57167353345102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93796248 + ... + 94403764.

It is an arithmetic number, because the mean of its divisors is an integer number (1208685614346).

Almost surely, 257167353345102 is an apocalyptic number.

57167353345102 is an abundant number, since it is smaller than the sum of its proper divisors (58866465632114).

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

57167353345102 is a wasteful number, since it uses less digits than its factorization.

57167353345102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611834 (or 611823 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 52.

The spelling of 57167353345102 in words is "fifty-seven trillion, one hundred sixty-seven billion, three hundred fifty-three million, three hundred forty-five thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 4273 8546 11011 22022 29911 47003 55549 59822 94006 111098 329021 388843 517033 607517 611039 658042 777686 1034066 1215034 1222078 3619231 4252619 4277273 6682687 6721429 7238462 7897721 8505238 8554546 13365374 13442858 15795442 46778809 47050003 55284047 73509557 86874931 93557618 94100006 110568094 147019114 173749862 514566899 608124517 955624241 1029133798 1216249034 1911248482 2595920141 5191840282 6689369687 13378739374 18171440987 28555121551 33746961833 36342881974 57110243102 67493923666 199885850857 236228732831 314106337061 371216580163 399771701714 472457465662 628212674122 742433160326 2198744359427 2598516061141 4083382381793 4397488718854 5197032122282 8166764763586 28583676672551 57167353345102