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112916422944 = 25321330159301
BaseRepresentation
bin110100100101001010…
…1111110000100100000
3101210110100011121112200
41221022111332010200
53322223101013234
6123512330453200
711105113521153
oct1511225760440
9353410147480
10112916422944
1143984416906
1219a73594200
13a85679ab60
145672671c9a
152e0d17cd99
hex1a4a57e120

112916422944 has 72 divisors (see below), whose sum is σ = 345806556732. Its totient is φ = 34743513600.

The previous prime is 112916422909. The next prime is 112916422999. The reversal of 112916422944 is 449224619211.

112916422944 is a `hidden beast` number, since 1 + 129 + 16 + 422 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102387200400 + 10529222544 = 319980^2 + 102612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112916422944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15075907 + ... + 15083394.

Almost surely, 2112916422944 is an apocalyptic number.

It is an amenable number.

112916422944 is an abundant number, since it is smaller than the sum of its proper divisors (232890133788).

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

112916422944 is a wasteful number, since it uses less digits than its factorization.

112916422944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159330 (or 30159319 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 112916422944 in words is "one hundred twelve billion, nine hundred sixteen million, four hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 30159301 60318602 90477903 120637204 180955806 241274408 271433709 361911612 392070913 482548816 542867418 723823224 784141826 965097632 1085734836 1176212739 1447646448 1568283652 2171469672 2352425478 2895292896 3136567304 3528638217 4342939344 4704850956 6273134608 7057276434 8685878688 9409701912 12546269216 14114552868 18819403824 28229105736 37638807648 56458211472 112916422944