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133111505352408 = 233113491444728503
BaseRepresentation
bin11110010001000001101111…
…111111011111011011011000
3122110022100001200021100212220
4132101001233333133123120
5114421344330332234113
61151034325324104040
740015663122625542
oct3621015777373330
9573270050240786
10133111505352408
11394602aa61a610
1212b19a99995020
13593749042954b
1424c28ba172692
15105c80813a523
hex79106ffdf6d8

133111505352408 has 64 divisors (see below), whose sum is σ = 364071583008000. Its totient is φ = 40221241495680.

The previous prime is 133111505352347. The next prime is 133111505352409. The reversal of 133111505352408 is 804253505111331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133111505352408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111505352409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722272116 + ... + 722456387.

It is an arithmetic number, because the mean of its divisors is an integer number (5688618484500).

Almost surely, 2133111505352408 is an apocalyptic number.

It is an amenable number.

133111505352408 is an abundant number, since it is smaller than the sum of its proper divisors (230960077655592).

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

133111505352408 is a wasteful number, since it uses less digits than its factorization.

133111505352408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444728872 (or 1444728868 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 133111505352408 in words is "one hundred thirty-three trillion, one hundred eleven billion, five hundred five million, three hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 349 698 1047 1396 2094 2792 3839 4188 7678 8376 11517 15356 23034 30712 46068 92136 1444728503 2889457006 4334185509 5778914012 8668371018 11557828024 15892013533 17336742036 31784027066 34673484072 47676040599 63568054132 95352081198 127136108264 190704162396 381408324792 504210247547 1008420495094 1512630742641 2016840990188 3025261485282 4033681980376 5546312723017 6050522970564 11092625446034 12101045941128 16638938169051 22185250892068 33277876338102 44370501784136 66555752676204 133111505352408