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112955457060 = 22325627530317
BaseRepresentation
bin110100100110010101…
…0110111111000100100
3101210120001121202021200
41221030222313320210
53322313044111220
6123520243242500
711106066354225
oct1511452677044
9353501552250
10112955457060
11439a4457806
1219a84679430
13a8618b6b74
14567791324c
152e117dd890
hex1a4cab7e24

112955457060 has 36 divisors (see below), whose sum is σ = 342631553628. Its totient is φ = 30121455168.

The previous prime is 112955457053. The next prime is 112955457061. The reversal of 112955457060 is 60754559211.

It is a happy number.

112955457060 is a `hidden beast` number, since 1 + 1 + 29 + 5 + 54 + 570 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38111629284 + 74843827776 = 195222^2 + 273576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 112955456997 and 112955457015.

It is not an unprimeable number, because it can be changed into a prime (112955457061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313764979 + ... + 313765338.

Almost surely, 2112955457060 is an apocalyptic number.

112955457060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112955457060 is an abundant number, since it is smaller than the sum of its proper divisors (229676096568).

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

112955457060 is a wasteful number, since it uses less digits than its factorization.

112955457060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627530332 (or 627530327 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 112955457060 in words is "one hundred twelve billion, nine hundred fifty-five million, four hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 627530317 1255060634 1882590951 2510121268 3137651585 3765181902 5647772853 6275303170 7530363804 9412954755 11295545706 12550606340 18825909510 22591091412 28238864265 37651819020 56477728530 112955457060