Search a number
-
+
112237598592 = 273378355897
BaseRepresentation
bin110100010000111100…
…0011101011110000000
3101201201000211202121000
41220201320131132000
53314330311123332
6123321121132000
711052231563340
oct1504170353600
9351630752530
10112237598592
1143666220049
121990418a000
13a778c64042
14560a44ad20
152dbd78eb7c
hex1a21e1d780

112237598592 has 256 divisors, whose sum is σ = 383147251200. Its totient is φ = 31680958464.

The previous prime is 112237598587. The next prime is 112237598647. The reversal of 112237598592 is 295895732211.

112237598592 is a `hidden beast` number, since 1 + 12 + 2 + 37 + 5 + 9 + 8 + 592 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979988 + ... + 2035884.

It is an arithmetic number, because the mean of its divisors is an integer number (1496668950).

Almost surely, 2112237598592 is an apocalyptic number.

112237598592 is a gapful number since it is divisible by the number (12) 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 112237598592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191573625600).

112237598592 is an abundant number, since it is smaller than the sum of its proper divisors (270909652608).

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

112237598592 is an equidigital number, since it uses as much as digits as its factorization.

112237598592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56010 (or 55992 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 112237598592 in words is "one hundred twelve billion, two hundred thirty-seven million, five hundred ninety-eight thousand, five hundred ninety-two".