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112160907048960 = 2113557211241347
BaseRepresentation
bin11001100000001001111111…
…000001011011100000000000
3112201010110220110101122100000
4121200021333001123200000
5104200121014201031320
61034314002005200000
732424233556415500
oct3140117701334000
9481113813348300
10112160907048960
11328131a0000480
12106b5650a00000
134a779609963b3
141d9a88c977a00
15ce7868aecc90
hex66027f05b800

112160907048960 has 3456 divisors, whose sum is σ = 515177932389120. Its totient is φ = 23142570393600.

The previous prime is 112160907048941. The next prime is 112160907048961. The reversal of 112160907048960 is 69840709061211.

112160907048960 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 6 + 0 + 90 + 70 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112160907048897 and 112160907048906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112160907048961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 323230279507 + ... + 323230279853.

It is an arithmetic number, because the mean of its divisors is an integer number (149067688770).

Almost surely, 2112160907048960 is an apocalyptic number.

112160907048960 is a gapful number since it is divisible by the number (10) 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 112160907048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257588966194560).

112160907048960 is an abundant number, since it is smaller than the sum of its proper divisors (403017025340160).

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

112160907048960 is a wasteful number, since it uses less digits than its factorization.

112160907048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 112160907048960 in words is "one hundred twelve trillion, one hundred sixty billion, nine hundred seven million, forty-eight thousand, nine hundred sixty".