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12710888064 = 27347434073
BaseRepresentation
bin10111101011010000…
…01100001010000000
31012210211210000110000
423311220030022000
5202012441404224
65501142240000
7626662523460
oct136550141200
935724700400
1012710888064
115432a68376
122568a26000
131277516a54
148881cbba0
154e5d940c9
hex2f5a0c280

12710888064 has 320 divisors, whose sum is σ = 44247551040. Its totient is φ = 3546353664.

The previous prime is 12710888039. The next prime is 12710888131. The reversal of 12710888064 is 46088801721.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3118732 + ... + 3122804.

It is an arithmetic number, because the mean of its divisors is an integer number (138273597).

Almost surely, 212710888064 is an apocalyptic number.

12710888064 is a gapful number since it is divisible by the number (14) 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 12710888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123775520).

12710888064 is an abundant number, since it is smaller than the sum of its proper divisors (31536662976).

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

12710888064 is an equidigital number, since it uses as much as digits as its factorization.

12710888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12710888064 in words is "twelve billion, seven hundred ten million, eight hundred eighty-eight thousand, sixty-four".