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12325107888 = 24322337432339
BaseRepresentation
bin10110111101010001…
…00011100010110000
31011210221212100112100
423132220203202300
5200220211423023
65355001500400
7614266455102
oct133650434260
934727770470
1012325107888
115255224a85
12247b7a1700
131215613962
1484cc89572
154c208dc43
hex2dea238b0

12325107888 has 240 divisors, whose sum is σ = 37841506560. Its totient is φ = 3733019136.

The previous prime is 12325107887. The next prime is 12325107901. The reversal of 12325107888 is 88870152321.

12325107888 is a `hidden beast` number, since 123 + 2 + 510 + 7 + 8 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12325107887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5268223 + ... + 5270561.

It is an arithmetic number, because the mean of its divisors is an integer number (157672944).

Almost surely, 212325107888 is an apocalyptic number.

12325107888 is a gapful number since it is divisible by the number (18) 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 12325107888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920753280).

12325107888 is an abundant number, since it is smaller than the sum of its proper divisors (25516398672).

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

12325107888 is a wasteful number, since it uses less digits than its factorization.

12325107888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12325107888 in words is "twelve billion, three hundred twenty-five million, one hundred seven thousand, eight hundred eighty-eight".