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13081738831857 = 3223417919511209
BaseRepresentation
bin1011111001011101010001…
…1001010110011111110001
31201022121020212112102011100
42332113110121112133301
53203312400120104412
643453400131235013
72520060453246543
oct276272431263761
951277225472140
1013081738831857
114193a305919a3
1215733b3a48a69
1373b7ab114707
14333233ab3693
1517a445629edc
hexbe5d46567f1

13081738831857 has 48 divisors (see below), whose sum is σ = 20453991667200. Its totient is φ = 8035495902720.

The previous prime is 13081738831829. The next prime is 13081738831871. The reversal of 13081738831857 is 75813883718031.

It is a happy number.

13081738831857 is a `hidden beast` number, since 1 + 308 + 1 + 7 + 3 + 8 + 8 + 318 + 5 + 7 = 666.

It is not a de Polignac number, because 13081738831857 - 212 = 13081738827761 is a prime.

It is a super-3 number, since 3×130817388318573 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13081738831794 and 13081738831803.

It is not an unprimeable number, because it can be changed into a prime (13081738831757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9085132 + ... + 10426077.

It is an arithmetic number, because the mean of its divisors is an integer number (426124826400).

Almost surely, 213081738831857 is an apocalyptic number.

It is an amenable number.

13081738831857 is a deficient number, since it is larger than the sum of its proper divisors (7372252835343).

13081738831857 is a wasteful number, since it uses less digits than its factorization.

13081738831857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511358 (or 19511355 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 13081738831857 in words is "thirteen trillion, eighty-one billion, seven hundred thirty-eight million, eight hundred thirty-one thousand, eight hundred fifty-seven".

Divisors: 1 3 9 23 41 69 79 123 207 237 369 711 943 1817 2829 3239 5451 8487 9717 16353 29151 74497 223491 670473 19511209 58533627 175600881 448757807 799959569 1346273421 1541385511 2399878707 4038820263 4624156533 7199636121 13872469599 18399070087 35451866753 55197210261 63196805951 106355600259 165591630783 189590417853 319066800777 568771253559 1453526536873 4360579610619 13081738831857