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12910086524000 = 2553314714914867
BaseRepresentation
bin1011101111011101110100…
…0111110000110001100000
31200201012012010102200202202
42323313131013300301200
53143004324122232000
643242451210432332
72501502656562401
oct273673507606140
950635163380682
1012910086524000
114128156306446
121546089a326a8
13728553a6bb93
14328bcc80b9a8
15175c4abebdd5
hexbbddd1f0c60

12910086524000 has 384 divisors, whose sum is σ = 33666671001600. Its totient is φ = 4857970944000.

The previous prime is 12910086523963. The next prime is 12910086524021. The reversal of 12910086524000 is 42568001921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 868364567 + ... + 868379433.

It is an arithmetic number, because the mean of its divisors is an integer number (87673622400).

Almost surely, 212910086524000 is an apocalyptic number.

12910086524000 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 12910086524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833335500800).

12910086524000 is an abundant number, since it is smaller than the sum of its proper divisors (20756584477600).

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

12910086524000 is a wasteful number, since it uses less digits than its factorization.

12910086524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 12910086524000 in words is "twelve trillion, nine hundred ten billion, eighty-six million, five hundred twenty-four thousand".