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112623376668 = 223112239332413
BaseRepresentation
bin110100011100011100…
…0000101100100011100
3101202200220202022121220
41220320320011210130
53321123041023133
6123423301453340
711064624622635
oct1507070054434
9352626668556
10112623376668
1143843a61900
12199b1411250
13a80ab661aa
14564578c88c
152de25945b3
hex1a38e0591c

112623376668 has 72 divisors (see below), whose sum is σ = 288979107984. Its totient is φ = 34112981760.

The previous prime is 112623376661. The next prime is 112623376709. The reversal of 112623376668 is 866673326211.

It is a self number, because there is not a number n which added to its sum of digits gives 112623376668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112623376661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3458430 + ... + 3490842.

It is an arithmetic number, because the mean of its divisors is an integer number (4013598722).

Almost surely, 2112623376668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112623376668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144489553992).

112623376668 is an abundant number, since it is smaller than the sum of its proper divisors (176355731316).

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

112623376668 is a wasteful number, since it uses less digits than its factorization.

112623376668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34835 (or 34822 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 112623376668 in words is "one hundred twelve billion, six hundred twenty-three million, three hundred seventy-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2393 4786 7179 9572 14358 26323 28716 32413 52646 64826 78969 97239 105292 129652 157938 194478 289553 315876 356543 388956 579106 713086 868659 1069629 1158212 1426172 1737318 2139258 3474636 3921973 4278516 7843946 11765919 15687892 23531838 47063676 77564309 155128618 232692927 310257236 465385854 853207399 930771708 1706414798 2559622197 3412829596 5119244394 9385281389 10238488788 18770562778 28155844167 37541125556 56311688334 112623376668