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112858016352 = 2537340132
BaseRepresentation
bin110100100011011011…
…1001010101001100000
3101210022021021020202120
41221012313022221200
53322113123010402
6123502442544240
711103504211434
oct1510667125140
9353267236676
10112858016352
11439544540a4
1219a57b08080
13a84765b243
1456689ca9c4
152e07e923bc
hex1a46dcaa60

112858016352 has 72 divisors (see below), whose sum is σ = 300385396584. Its totient is φ = 37094759424.

The previous prime is 112858016339. The next prime is 112858016413. The reversal of 112858016352 is 253610858211.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28121098 + ... + 28125110.

It is an arithmetic number, because the mean of its divisors is an integer number (4172019397).

Almost surely, 2112858016352 is an apocalyptic number.

112858016352 is a gapful number since it is divisible by the number (12) 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 112858016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150192698292).

112858016352 is an abundant number, since it is smaller than the sum of its proper divisors (187527380232).

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

112858016352 is an frugal number, since it uses more digits than its factorization.

112858016352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 112858016352 in words is "one hundred twelve billion, eight hundred fifty-eight million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 4013 7008 8026 12039 16052 24078 32104 48156 64208 96312 128416 192624 292949 385248 585898 878847 1171796 1757694 2343592 3515388 4687184 7030776 9374368 14061552 16104169 28123104 32208338 48312507 64416676 96625014 128833352 193250028 257666704 386500056 515333408 773000112 1175604337 1546000224 2351208674 3526813011 4702417348 7053626022 9404834696 14107252044 18809669392 28214504088 37619338784 56429008176 112858016352