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112260046536 = 2332117113991427
BaseRepresentation
bin110100010001100111…
…0000101111011001000
3101201202121002020101100
41220203032011323020
53314402032442121
6123323242221400
711052623436261
oct1504316057310
9351677066340
10112260046536
1143677962570
121990b7b4860
13a7807c3751
14560d411968
152dc0726026
hex1a23385ec8

112260046536 has 192 divisors, whose sum is σ = 336825216000. Its totient is φ = 33491606400.

The previous prime is 112260046529. The next prime is 112260046571. The reversal of 112260046536 is 635640062211.

112260046536 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 600 + 46 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112260046536.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 78667855 + ... + 78669281.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298000).

Almost surely, 2112260046536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112260046536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608000).

112260046536 is an abundant number, since it is smaller than the sum of its proper divisors (224565169464).

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

112260046536 is a wasteful number, since it uses less digits than its factorization.

112260046536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 112260046536 in words is "one hundred twelve billion, two hundred sixty million, forty-six thousand, five hundred thirty-six".