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481271322361401 = 341113311913321513
BaseRepresentation
bin110110101101101101011011…
…0001101011011111000111001
32100010001002101221102121110000
41231123122312031123320321
51001040122132011031101
64423324554313543213
7203241464006611515
oct15533326615337071
92303032357377400
10481271322361401
1112a391026834660
1245b89734114b09
13178708ca079480
1486bb928c01145
153a98e88ebe486
hex1b5b6b635be39

481271322361401 has 80 divisors (see below), whose sum is σ = 844895178167040. Its totient is φ = 269156354215680.

The previous prime is 481271322361381. The next prime is 481271322361463. The reversal of 481271322361401 is 104163223172184.

481271322361401 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 7 + 1 + 3 + 2 + 23 + 614 + 0 + 1 = 666.

It is not a de Polignac number, because 481271322361401 - 217 = 481271322230329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481271322362401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29466621 + ... + 42788133.

It is an arithmetic number, because the mean of its divisors is an integer number (10561189727088).

Almost surely, 2481271322361401 is an apocalyptic number.

It is an amenable number.

481271322361401 is a deficient number, since it is larger than the sum of its proper divisors (363623855805639).

481271322361401 is a wasteful number, since it uses less digits than its factorization.

481271322361401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324668 (or 13324659 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 481271322361401 in words is "four hundred eighty-one trillion, two hundred seventy-one billion, three hundred twenty-two million, three hundred sixty-one thousand, four hundred one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3119 3861 9357 11583 28071 34309 40547 84213 102927 121641 252639 308781 364923 446017 926343 1094769 1338051 2779029 3284307 4014153 12042459 13321513 36127377 39964539 119893617 146536643 173179669 359680851 439609929 519539007 1079042553 1318829787 1558617021 1904976359 3956489361 4675851063 5714929077 11869468083 14027553189 17144787231 41549799047 51434361693 124649397141 154303085079 373948191423 457047789517 540147387611 1121844574269 1371143368551 1620442162833 3365533722807 4113430105653 4861326488499 5941621263721 12340290316959 14583979465497 17824863791163 37020870950877 43751938396491 53474591373489 160423774120467 481271322361401