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112739861160 = 23325313166281
BaseRepresentation
bin110100011111111010…
…0011100001010101000
3101210000000221100022100
41220333310130022220
53321342401024120
6123443022253400
711100541002603
oct1507764341250
9353000840270
10112739861160
11438a3792383
1219a24427260
13a82902bc24
14565703133a
152dec903490
hex1a3fd1c2a8

112739861160 has 48 divisors (see below), whose sum is σ = 366404549940. Its totient is φ = 30063962880.

The previous prime is 112739861083. The next prime is 112739861167. The reversal of 112739861160 is 61168937211.

112739861160 is a `hidden beast` number, since 1 + 1 + 27 + 3 + 9 + 8 + 611 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100350835524 + 12389025636 = 316782^2 + 111306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112739861167) 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, 156582781 + ... + 156583500.

Almost surely, 2112739861160 is an apocalyptic number.

112739861160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112739861160 is an abundant number, since it is smaller than the sum of its proper divisors (253664688780).

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

112739861160 is a wasteful number, since it uses less digits than its factorization.

112739861160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313166298 (or 313166291 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 112739861160 in words is "one hundred twelve billion, seven hundred thirty-nine million, eight hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 313166281 626332562 939498843 1252665124 1565831405 1878997686 2505330248 2818496529 3131662810 3757995372 4697494215 5636993058 6263325620 7515990744 9394988430 11273986116 12526651240 14092482645 18789976860 22547972232 28184965290 37579953720 56369930580 112739861160