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12375896832 = 2832131014091
BaseRepresentation
bin10111000011010100…
…10011001100000000
31011221111102200212100
423201222103030000
5200321212144312
65404014230400
7615454246605
oct134152231400
934844380770
1012375896832
115280964512
1224947b5400
131222cb71a0
1485590a6ac
154c67725dc
hex2e1a93300

12375896832 has 216 divisors, whose sum is σ = 38817546768. Its totient is φ = 3769344000.

The previous prime is 12375896801. The next prime is 12375896839. The reversal of 12375896832 is 23869857321.

12375896832 is a `hidden beast` number, since 1 + 23 + 7 + 589 + 6 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (12375896839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3023107 + ... + 3027197.

Almost surely, 212375896832 is an apocalyptic number.

12375896832 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 12375896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408773384).

12375896832 is an abundant number, since it is smaller than the sum of its proper divisors (26441649936).

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

12375896832 is a wasteful number, since it uses less digits than its factorization.

12375896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4210 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

It can be divided in two parts, 1237589 and 6832, that added together give a palindrome (1244421).

The spelling of 12375896832 in words is "twelve billion, three hundred seventy-five million, eight hundred ninety-six thousand, eight hundred thirty-two".