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138955071264 = 25313451107609
BaseRepresentation
bin1000000101101001011…
…1100001111100100000
3111021200000110222222220
42001122113201330200
54234034444240024
6143500213231040
713016302421562
oct2013227417440
9437600428886
10138955071264
1153a26573779
1222b1b932480
1310146253a79
146a22947332
153934117e79
hex205a5e1f20

138955071264 has 48 divisors (see below), whose sum is σ = 364787569440. Its totient is φ = 46314483200.

The previous prime is 138955071253. The next prime is 138955071289. The reversal of 138955071264 is 462170559831.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237492 + ... + 1345100.

It is an arithmetic number, because the mean of its divisors is an integer number (7599741030).

It is a 1-persistent number, because it is pandigital, but 2⋅138955071264 = 277910142528 is not.

Almost surely, 2138955071264 is an apocalyptic number.

It is an amenable number.

138955071264 is an abundant number, since it is smaller than the sum of its proper divisors (225832498176).

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

138955071264 is a wasteful number, since it uses less digits than its factorization.

138955071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121073 (or 121065 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 138955071264 in words is "one hundred thirty-eight billion, nine hundred fifty-five million, seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13451 26902 40353 53804 80706 107608 107609 161412 215216 215218 322824 322827 430432 430436 645648 645654 860872 1291296 1291308 1721744 2582616 3443488 5165232 10330464 1447448659 2894897318 4342345977 5789794636 8684691954 11579589272 17369383908 23159178544 34738767816 46318357088 69477535632 138955071264