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261432135167172 = 223315081138314221
BaseRepresentation
bin111011011100010101101001…
…100011001010110011000100
31021021122200001000000000010020
4323130111221203022303010
5233231301003100322142
62324004133114455140
7106031564010445314
oct7334255143126304
91237580030000106
10261432135167172
1176333822864442
12253a33711344b0
13b2b4c3828b048
14487b5507b3444
1520356b308ccec
hexedc5698cacc4

261432135167172 has 48 divisors (see below), whose sum is σ = 629809937078784. Its totient is φ = 84316348512000.

The previous prime is 261432135167149. The next prime is 261432135167249. The reversal of 261432135167172 is 271761531234162.

261432135167172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2614321351671722 (a number of 30 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, 67266979 + ... + 71047242.

It is an arithmetic number, because the mean of its divisors is an integer number (13121040355808).

Almost surely, 2261432135167172 is an apocalyptic number.

It is an amenable number.

261432135167172 is an abundant number, since it is smaller than the sum of its proper divisors (368377801911612).

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

261432135167172 is a wasteful number, since it uses less digits than its factorization.

261432135167172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138319340 (or 138319338 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 261432135167172 in words is "two hundred sixty-one trillion, four hundred thirty-two billion, one hundred thirty-five million, one hundred sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 5081 10162 15243 20324 30486 60972 157511 315022 472533 630044 945066 1890132 138314221 276628442 414942663 553256884 829885326 1659770652 4287740851 8575481702 12863222553 17150963404 25726445106 51452890212 702774556901 1405549113802 2108323670703 2811098227604 4216647341406 8433294682812 21786011263931 43572022527862 65358033791793 87144045055724 130716067583586 261432135167172