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112320560912896 = 297318291219481
BaseRepresentation
bin11001100010011110101011…
…001000100101101000000000
3112201200202000000022020220201
4121202132223020211220000
5104210230002043203041
61034515204153414544
732441615131026610
oct3142365310455000
9481622000266821
10112320560912896
1132874978498476
121072058870a454
134a89a2530077b
141da44b6508a40
15cebaaeeb6631
hex6627ab225a00

112320560912896 has 160 divisors (see below), whose sum is σ = 265075192673280. Its totient is φ = 46528332595200.

The previous prime is 112320560912867. The next prime is 112320560912909. The reversal of 112320560912896 is 698219065023211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91495476 + ... + 92714956.

It is an arithmetic number, because the mean of its divisors is an integer number (1656719954208).

Almost surely, 2112320560912896 is an apocalyptic number.

112320560912896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112320560912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132537596336640).

112320560912896 is an abundant number, since it is smaller than the sum of its proper divisors (152754631760384).

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

112320560912896 is an equidigital number, since it uses as much as digits as its factorization.

112320560912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220366 (or 1220350 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 112320560912896 in words is "one hundred twelve trillion, three hundred twenty billion, five hundred sixty million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 829 868 896 992 1658 1736 1792 1984 3316 3472 3584 3968 5803 6632 6944 7936 11606 13264 13888 15872 23212 25699 26528 27776 46424 51398 53056 55552 92848 102796 106112 111104 179893 185696 205592 212224 359786 371392 411184 424448 719572 742784 822368 1219481 1439144 1485568 1644736 2438962 2878288 2971136 3289472 4877924 5756576 6578944 8536367 9755848 11513152 13157888 17072734 19511696 23026304 34145468 37803911 39023392 46052608 68290936 75607822 78046784 92105216 136581872 151215644 156093568 264627377 273163744 302431288 312187136 529254754 546327488 604862576 624374272 1010949749 1058509508 1092654976 1209725152 2021899498 2117019016 2185309952 2419450304 4043798996 4234038032 4370619904 4838900608 7076648243 8087597992 8468076064 9677801216 14153296486 16175195984 16936152128 19355602432 28306592972 31339442219 32350391968 33872304256 56613185944 62678884438 64700783936 67744608512 113226371888 125357768876 129401567872 135489217024 219376095533 226452743776 250715537752 258803135744 438752191066 452905487552 501431075504 517606271488 877504382132 905810975104 1002862151008 1755008764264 1811621950208 2005724302016 3510017528528 3623243900416 4011448604032 7020035057056 8022897208064 14040070114112 16045794416128 28080140228224 56160280456448 112320560912896