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112620562656 = 2537315406133
BaseRepresentation
bin110100011100010110…
…1010110100011100000
3101202200201110100112020
41220320231112203200
53321121331001111
6123423121301440
711064561662550
oct1507055264340
9352621410466
10112620562656
114384240a678
12199b0494880
13a80a3bc3b4
145645259160
152de21da906
hex1a38b568e0

112620562656 has 96 divisors (see below), whose sum is σ = 348760516608. Its totient is φ = 31139320320.

The previous prime is 112620562619. The next prime is 112620562657. The reversal of 112620562656 is 656265026211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1126205626562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112620562657) 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 15 ways as a sum of consecutive naturals, for example, 2682235 + ... + 2723898.

It is an arithmetic number, because the mean of its divisors is an integer number (3632922048).

Almost surely, 2112620562656 is an apocalyptic number.

112620562656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112620562656 is an abundant number, since it is smaller than the sum of its proper divisors (236139953952).

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

112620562656 is a wasteful number, since it uses less digits than its factorization.

112620562656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406184 (or 5406176 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 112620562656 its reverse (656265026211), we get a palindrome (768885588867).

The spelling of 112620562656 in words is "one hundred twelve billion, six hundred twenty million, five hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 5406133 10812266 16218399 21624532 32436798 37842931 43249064 64873596 75685862 86498128 113528793 129747192 151371724 167590123 172996256 227057586 259494384 302743448 335180246 454115172 502770369 518988768 605486896 670360492 908230344 1005540738 1173130861 1210973792 1340720984 1816460688 2011081476 2346261722 2681441968 3519392583 3632921376 4022162952 4692523444 5362883936 7038785166 8044325904 9385046888 14077570332 16088651808 18770093776 28155140664 37540187552 56310281328 112620562656