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131274604145169 = 34192670032
BaseRepresentation
bin11101110110010011000000…
…001001011110101000010001
3122012210201200212120122110000
4131312103000021132220101
5114201300342130121134
61143110415352200213
736436164032163102
oct3566230011365021
9565721625518400
10131274604145169
1138912279799841
1212881a93399069
1358331b0126494
14245ba209983a9
151029b48ba5e99
hex7764c025ea11

131274604145169 has 45 divisors (see below), whose sum is σ = 206969010968313. Its totient is φ = 82909038890808.

The previous prime is 131274604145149. The next prime is 131274604145233. The reversal of 131274604145169 is 961541406472131.

The square root of 131274604145169 is 11457513.

It is a perfect power (a square), and thus also a powerful number.

131274604145169 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 4 + 60 + 414 + 5 + 169 = 666.

It is not a de Polignac number, because 131274604145169 - 25 = 131274604145137 is a prime.

It is a super-2 number, since 2×1312746041451692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131274604145149) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1959201222 + ... + 1959268224.

Almost surely, 2131274604145169 is an apocalyptic number.

131274604145169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131274604145169 is the 11457513-rd square number.

131274604145169 is the 5728757-th centered octagonal number.

It is an amenable number.

131274604145169 is a deficient number, since it is larger than the sum of its proper divisors (75694406823144).

131274604145169 is an frugal number, since it uses more digits than its factorization.

131274604145169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134056 (or 67025 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 131274604145169 in words is "one hundred thirty-one trillion, two hundred seventy-four billion, six hundred four million, one hundred forty-five thousand, one hundred sixty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3249 9747 29241 67003 201009 603027 1273057 1809081 3819171 5427243 11457513 24188083 34372539 72564249 103117617 217692747 653078241 1959234723 4489402009 13468206027 40404618081 85298638171 121213854243 255895914513 363641562729 767687743539 1620674125249 2303063230617 4862022375747 6909189691851 14586067127241 43758201381723 131274604145169