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12308516352 = 29341126981
BaseRepresentation
bin10110111011010010…
…10000111000000000
31011202210122102020000
423131221100320000
5200201440010402
65353210120000
7614005443216
oct133551207000
934683572200
1012308516352
115246922570
122476120000
131212054a92
1484a9aacb6
154c08b2c1c
hex2dda50e00

12308516352 has 200 divisors, whose sum is σ = 40078954872. Its totient is φ = 3729715200.

The previous prime is 12308516347. The next prime is 12308516357. The reversal of 12308516352 is 25361580321.

12308516352 is a `hidden beast` number, since 12 + 3 + 0 + 8 + 5 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12308516347) and next prime (12308516357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308516357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 442702 + ... + 469682.

Almost surely, 212308516352 is an apocalyptic number.

12308516352 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 12308516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039477436).

12308516352 is an abundant number, since it is smaller than the sum of its proper divisors (27770438520).

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

12308516352 is an equidigital number, since it uses as much as digits as its factorization.

12308516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27022 (or 26997 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12308516352 in words is "twelve billion, three hundred eight million, five hundred sixteen thousand, three hundred fifty-two".