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2102983181952 = 27317378706707
BaseRepresentation
bin11110100110100011100…
…100001100011010000000
321110001011111212112112020
4132212203210030122000
5233423402143310302
64250032552001440
7304635612052032
oct36464344143200
97401144775466
102102983181952
117409631aa714
1229b6a4990280
1312340611a323
1473adbbb9c52
1539a84087ebc
hex1e9a390c680

2102983181952 has 128 divisors (see below), whose sum is σ = 6074496037440. Its totient is φ = 641928019968.

The previous prime is 2102983181941. The next prime is 2102983181977. The reversal of 2102983181952 is 2591813892012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2102983181895 and 2102983181904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111818 + ... + 4594889.

Almost surely, 22102983181952 is an apocalyptic number.

It is an amenable number.

2102983181952 is an abundant number, since it is smaller than the sum of its proper divisors (3971512855488).

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

2102983181952 is a wasteful number, since it uses less digits than its factorization.

2102983181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706778 (or 8706766 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 2102983181952 in words is "two trillion, one hundred two billion, nine hundred eighty-three million, one hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 272 296 384 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4736 5032 6528 7104 7548 10064 14208 15096 20128 30192 40256 60384 80512 120768 241536 8706707 17413414 26120121 34826828 52240242 69653656 104480484 139307312 148014019 208960968 278614624 296028038 322148159 417921936 444042057 557229248 592056076 644296318 835843872 888084114 966444477 1114458496 1184112152 1288592636 1671687744 1776168228 1932888954 2368224304 2577185272 3343375488 3552336456 3865777908 4736448608 5154370544 5476518703 7104672912 7731555816 9472897216 10308741088 10953037406 14209345824 15463111632 16429556109 18945794432 20617482176 21906074812 28418691648 30926223264 32859112218 41234964352 43812149624 56837383296 61852446528 65718224436 87624299248 123704893056 131436448872 175248598496 262872897744 350497196992 525745795488 700994393984 1051491590976 2102983181952