Search a number
-
+
112300657627232 = 25171847111767749
BaseRepresentation
bin11001100010001100001000…
…110011100101000001100000
3112201121211121220202120210102
4121202030020303211001200
5104204413221323032412
61034502113201121532
732440311661631654
oct3142141063450140
9481554556676712
10112300657627232
1132867494616358
12107187530292a8
134a87ba2988c69
141da3548ddaa64
15ceb2e79a18c2
hex662308ce5060

112300657627232 has 48 divisors (see below), whose sum is σ = 234224073468000. Its totient is φ = 52818755278848.

The previous prime is 112300657627201. The next prime is 112300657627237. The reversal of 112300657627232 is 232726756003211.

It is a super-2 number, since 2×1123006576272322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300657627237) 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 7 ways as a sum of consecutive naturals, for example, 54879107 + ... + 56888642.

It is an arithmetic number, because the mean of its divisors is an integer number (4879668197250).

Almost surely, 2112300657627232 is an apocalyptic number.

It is an amenable number.

112300657627232 is an abundant number, since it is smaller than the sum of its proper divisors (121923415840768).

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

112300657627232 is a wasteful number, since it uses less digits than its factorization.

112300657627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111769623 (or 111769615 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 112300657627232 in words is "one hundred twelve trillion, three hundred billion, six hundred fifty-seven million, six hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1847 3694 7388 14776 29552 31399 59104 62798 125596 251192 502384 1004768 111767749 223535498 447070996 894141992 1788283984 1900051733 3576567968 3800103466 7600206932 15200413864 30400827728 60801655456 206435032403 412870064806 825740129612 1651480259224 3302960518448 3509395550851 6605921036896 7018791101702 14037582203404 28075164406808 56150328813616 112300657627232