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112491586656 = 25321920557673
BaseRepresentation
bin110100011000100000…
…1010110010001100000
3101202100201202200201100
41220301001112101200
53320340321233111
6123402233034400
711061434465331
oct1506101262140
9352321680640
10112491586656
1143786628039
1219975255a00
13a7b9771a37
145632084288
152dd5c10756
hex1a31056460

112491586656 has 72 divisors (see below), whose sum is σ = 336734700120. Its totient is φ = 35523657216.

The previous prime is 112491586633. The next prime is 112491586687. The reversal of 112491586656 is 656685194211.

It is a happy number.

112491586656 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 9 + 1 + 586 + 6 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10273365 + ... + 10284308.

It is an arithmetic number, because the mean of its divisors is an integer number (4676870835).

Almost surely, 2112491586656 is an apocalyptic number.

112491586656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112491586656 is an abundant number, since it is smaller than the sum of its proper divisors (224243113464).

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

112491586656 is a wasteful number, since it uses less digits than its factorization.

112491586656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20557708 (or 20557697 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 112491586656 in words is "one hundred twelve billion, four hundred ninety-one million, five hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 20557673 41115346 61673019 82230692 123346038 164461384 185019057 246692076 328922768 370038114 390595787 493384152 657845536 740076228 781191574 986768304 1171787361 1480152456 1562383148 1973536608 2343574722 2960304912 3124766296 3515362083 4687149444 5920609824 6249532592 7030724166 9374298888 12499065184 14061448332 18748597776 28122896664 37497195552 56245793328 112491586656