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13937718323260 = 2255325171972859
BaseRepresentation
bin1100101011010010000010…
…1111111110100000111100
31211100102200112221221221101
43022310200233332200330
53311323421342321020
645350522134342444
72635652440005064
oct312644057764074
954312615857841
1013937718323260
114493a53702076
1216912817baa24
137a1423898aa4
1436283695a3a4
151928431e800a
hexcad20bfe83c

13937718323260 has 96 divisors (see below), whose sum is σ = 29982321331200. Its totient is φ = 5440452576000.

The previous prime is 13937718323231. The next prime is 13937718323261. The reversal of 13937718323260 is 6232381773931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937718323261) 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 31 ways as a sum of consecutive naturals, for example, 191260711 + ... + 191333569.

It is an arithmetic number, because the mean of its divisors is an integer number (312315847200).

Almost surely, 213937718323260 is an apocalyptic number.

13937718323260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13937718323260 is an abundant number, since it is smaller than the sum of its proper divisors (16044603007940).

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

13937718323260 is a wasteful number, since it uses less digits than its factorization.

13937718323260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73891 (or 73889 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 55.

The spelling of 13937718323260 in words is "thirteen trillion, nine hundred thirty-seven billion, seven hundred eighteen million, three hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 251 265 502 530 719 1004 1060 1255 1438 2510 2876 3595 5020 7190 13303 14380 26606 38107 53212 66515 72859 76214 133030 145718 152428 180469 190535 266060 291436 360938 364295 381070 721876 728590 762140 902345 1457180 1804690 3609380 3861527 7723054 9564857 15446108 18287609 19129714 19307635 36575218 38259428 38615270 47824285 52385621 73150436 77230540 91438045 95648570 104771242 182876090 191297140 209542484 261928105 365752180 523856210 969243277 1047712420 1938486554 2776437913 3876973108 4846216385 5552875826 9692432770 11105751652 13148790871 13882189565 19384865540 26297581742 27764379130 52595163484 55528758260 65743954355 131487908710 262975817420 696885916163 1393771832326 2787543664652 3484429580815 6968859161630 13937718323260