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131716026412360 = 235131092323853677
BaseRepresentation
bin11101111100101110000110…
…111101110010110101001000
3122021100221002100110012201221
4131330232012331302311020
5114231013410230143420
61144045301315251424
736513111631431355
oct3574560675626510
9567327070405657
10131716026412360
1138a724a9097605
12129335468a9b74
1358659ca390ba0
14247513819562c
151036381d78caa
hex77cb86f72d48

131716026412360 has 64 divisors (see below), whose sum is σ = 322086119770800. Its totient is φ = 48187429825536.

The previous prime is 131716026412351. The next prime is 131716026412379. The reversal of 131716026412360 is 63214620617131.

It is a happy number.

131716026412360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80255116424484 + 51460909987876 = 8958522^2 + 7173626^2 .

It is a super-2 number, since 2×1317160264123602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161870159 + ... + 1161983518.

Almost surely, 2131716026412360 is an apocalyptic number.

131716026412360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131716026412360 is an abundant number, since it is smaller than the sum of its proper divisors (190370093358440).

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

131716026412360 is a wasteful number, since it uses less digits than its factorization.

131716026412360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323853810 (or 2323853806 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 131716026412360 in words is "one hundred thirty-one trillion, seven hundred sixteen billion, twenty-six million, four hundred twelve thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1417 2180 2834 4360 5668 7085 11336 14170 28340 56680 2323853677 4647707354 9295414708 11619268385 18590829416 23238536770 30210097801 46477073540 60420195602 92954147080 120840391204 151050489005 241680782408 253300050793 302100978010 506600101586 604201956020 1013200203172 1208403912040 1266500253965 2026400406344 2533000507930 3292900660309 5066001015860 6585801320618 10132002031720 13171602641236 16464503301545 26343205282472 32929006603090 65858013206180 131716026412360