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12316652640 = 253452932771
BaseRepresentation
bin10110111100010000…
…10011010001100000
31011210100221210010000
423132020103101200
5200211030341030
65354100340000
7614134551165
oct133610232140
934710853100
1012316652640
11525047a476
1224789a4600
131213943256
1484bac806c
154c146d860
hex2de213460

12316652640 has 240 divisors, whose sum is σ = 44967772080. Its totient is φ = 3171087360.

The previous prime is 12316652639. The next prime is 12316652657. The reversal of 12316652640 is 4625661321.

12316652640 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 6 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12316652595 and 12316652604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359455 + ... + 392225.

It is an arithmetic number, because the mean of its divisors is an integer number (187365717).

Almost surely, 212316652640 is an apocalyptic number.

12316652640 is a gapful number since it is divisible by the number (10) 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 12316652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483886040).

12316652640 is an abundant number, since it is smaller than the sum of its proper divisors (32651119440).

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

12316652640 is a wasteful number, since it uses less digits than its factorization.

12316652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32827 (or 32810 counting only the distinct ones).

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

The spelling of 12316652640 in words is "twelve billion, three hundred sixteen million, six hundred fifty-two thousand, six hundred forty".