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312881631894 = 2321379166910141
BaseRepresentation
bin1001000110110010011…
…00101101001010010110
31002220121020222201200200
410203121030231022112
520111240144210034
6355422535121330
731414332663426
oct4433114551226
91086536881620
10312881631894
11110768584a77
125077b513246
13236738283c0
1411201c98486
15821352da99
hex48d932d296

312881631894 has 96 divisors (see below), whose sum is σ = 739814275200. Its totient is φ = 94986328320.

The previous prime is 312881631869. The next prime is 312881631949. The reversal of 312881631894 is 498136188213.

312881631894 is a `hidden beast` number, since 31 + 288 + 16 + 318 + 9 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 312881631894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30848064 + ... + 30858204.

It is an arithmetic number, because the mean of its divisors is an integer number (7706398700).

Almost surely, 2312881631894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312881631894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369907137600).

312881631894 is an abundant number, since it is smaller than the sum of its proper divisors (426932643306).

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

312881631894 is a wasteful number, since it uses less digits than its factorization.

312881631894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11907 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 312881631894 in words is "three hundred twelve billion, eight hundred eighty-one million, six hundred thirty-one thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 1669 2054 3081 3338 5007 6162 9243 10014 10141 15021 18486 20282 21697 30042 30423 43394 60846 65091 91269 130182 131833 131851 182538 195273 263666 263702 390546 395499 395553 790998 791106 801139 1186497 1186659 1602278 1714063 2372994 2373318 2403417 3428126 4806834 5142189 7210251 10284378 10414807 14420502 15426567 16925329 20829614 30853134 31244421 33850658 50775987 62488842 93733263 101551974 152327961 187466526 220029277 304655922 440058554 660087831 1320175662 1337100991 1980263493 2674201982 3960526986 4011302973 8022605946 12033908919 17382312883 24067817838 34764625766 52146938649 104293877298 156440815947 312881631894