Search a number
-
+
112658112960 = 2635426127541
BaseRepresentation
bin110100011101011110…
…0100110000111000000
3101202210100010002212020
41220322330212013000
53321210434103320
6123430542201440
711065526105631
oct1507274460700
9352710102766
10112658112960
1143861627788
1219a00b83280
13a815108c03
14564a231888
152de5656940
hex1a3af261c0

112658112960 has 112 divisors (see below), whose sum is σ = 357786444192. Its totient is φ = 30034022400.

The previous prime is 112658112943. The next prime is 112658112967. The reversal of 112658112960 is 69211856211.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112658112967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4076790 + ... + 4104330.

Almost surely, 2112658112960 is an apocalyptic number.

112658112960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112658112960 is an abundant number, since it is smaller than the sum of its proper divisors (245128331232).

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

112658112960 is a wasteful number, since it uses less digits than its factorization.

112658112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822 (or 31812 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 112658112960 in words is "one hundred twelve billion, six hundred fifty-eight million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4261 8522 12783 17044 21305 25566 27541 34088 42610 51132 55082 63915 68176 82623 85220 102264 110164 127830 136352 137705 165246 170440 204528 220328 255660 272704 275410 330492 340880 409056 413115 440656 511320 550820 660984 681760 818112 826230 881312 1022640 1101640 1321968 1363520 1652460 1762624 2045280 2203280 2643936 3304920 4090560 4406560 5287872 6609840 8813120 13219680 26439360 117352201 234704402 352056603 469408804 586761005 704113206 938817608 1173522010 1408226412 1760283015 1877635216 2347044020 2816452824 3520566030 3755270432 4694088040 5632905648 7041132060 7510540864 9388176080 11265811296 14082264120 18776352160 22531622592 28164528240 37552704320 56329056480 112658112960