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112725808974 = 235976193863
BaseRepresentation
bin110100011111011111…
…0110101011101001110
3101202222001111102100000
41220332332311131032
53321330301341344
6123441401145130
711100310365252
oct1507676653516
9352861442300
10112725808974
11438968647a9
1219a1b78b1a6
13a82614bb1c
145655214262
152deb579a69
hex1a3efb574e

112725808974 has 96 divisors (see below), whose sum is σ = 256376090880. Its totient is φ = 37118207232.

The previous prime is 112725808939. The next prime is 112725808999. The reversal of 112725808974 is 479808527211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112725808974.

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, 29178967 + ... + 29182829.

It is an arithmetic number, because the mean of its divisors is an integer number (2670584280).

Almost surely, 2112725808974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112725808974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128188045440).

112725808974 is an abundant number, since it is smaller than the sum of its proper divisors (143650281906).

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

112725808974 is an equidigital number, since it uses as much as digits as its factorization.

112725808974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 112725808974 in words is "one hundred twelve billion, seven hundred twenty-five million, eight hundred eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 619 873 1238 1746 1857 2619 3714 3863 5238 5571 7726 7857 11142 11589 15714 16713 23178 23571 33426 34767 47142 50139 60043 69534 100278 104301 120086 150417 180129 208602 300834 312903 360258 374711 540387 625806 749422 938709 1080774 1124133 1621161 1877418 2248266 2391197 3242322 3372399 4782394 4863483 6744798 7173591 9726966 10117197 14347182 14590449 20234394 21520773 29180898 30351591 43041546 60703182 64562319 91054773 129124638 182109546 193686957 231946109 387373914 463892218 581060871 695838327 1162121742 1391676654 2087514981 4175029962 6262544943 12525089886 18787634829 37575269658 56362904487 112725808974