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12393595872 = 2532723672393
BaseRepresentation
bin10111000101011011…
…10100001111100000
31011222201201220101100
423202231310033200
5200340230031442
65405445434400
7616060553400
oct134255641740
934881656340
1012393595872
11528a953019
12249a70ba00
1312268731a8
14857dd6800
154c80bb84c
hex2e2b743e0

12393595872 has 216 divisors, whose sum is σ = 41127349536. Its totient is φ = 3529903104.

The previous prime is 12393595853. The next prime is 12393595891. The reversal of 12393595872 is 27859539321.

12393595872 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 3 + 59 + 587 + 2 = 666.

12393595872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12393595853) and next prime (12393595891).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5177908 + ... + 5180300.

It is an arithmetic number, because the mean of its divisors is an integer number (190404396).

Almost surely, 212393595872 is an apocalyptic number.

12393595872 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 12393595872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563674768).

12393595872 is an abundant number, since it is smaller than the sum of its proper divisors (28733753664).

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

12393595872 is a wasteful number, since it uses less digits than its factorization.

12393595872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2772 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 12393595872 in words is "twelve billion, three hundred ninety-three million, five hundred ninety-five thousand, eight hundred seventy-two".