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2154868684512 = 253371791133871
BaseRepresentation
bin11111010110111000001…
…011101011011011100000
321122000002111121011102020
4133112320023223123200
5240301132340401022
64325533310221440
7311453440413555
oct37267013533340
97560074534366
102154868684512
11760969216745
122a97651b4880
131282846b5c2b
1476420abca2c
153b0be22535c
hex1f5b82eb6e0

2154868684512 has 96 divisors (see below), whose sum is σ = 5809905368064. Its totient is φ = 698816678400.

The previous prime is 2154868684459. The next prime is 2154868684517.

It is a happy number.

2154868684512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154868684517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63602937 + ... + 63636807.

It is an arithmetic number, because the mean of its divisors is an integer number (60519847584).

Almost surely, 22154868684512 is an apocalyptic number.

It is an amenable number.

2154868684512 is an abundant number, since it is smaller than the sum of its proper divisors (3655036683552).

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

2154868684512 is a wasteful number, since it uses less digits than its factorization.

2154868684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51832 (or 51824 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 60.

The spelling of 2154868684512 in words is "two trillion, one hundred fifty-four billion, eight hundred sixty-eight million, six hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 17911 33871 35822 53733 67742 71644 101613 107466 135484 143288 203226 214932 270968 286576 406452 429864 541936 573152 662707 812904 859728 1083872 1253227 1325414 1625808 1719456 1988121 2506454 2650828 3251616 3759681 3976242 5012908 5301656 7519362 7952484 10025816 10603312 15038724 15904968 20051632 21206624 30077448 31809936 40103264 60154896 63619872 120309792 606663481 1213326962 1819990443 2426653924 3639980886 4853307848 7279961772 9706615696 14559923544 19413231392 22446548797 29119847088 44893097594 58239694176 67339646391 89786195188 134679292782 179572390376 269358585564 359144780752 538717171128 718289561504 1077434342256 2154868684512