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12856718784 = 2637213313391
BaseRepresentation
bin10111111100101000…
…11111010111000000
31020012000011222120210
423332110133113000
5202312310000114
65523432034120
7633413210100
oct137624372700
936160158523
1012856718784
1154a8312128
1225a9832940
13129b7b6010
1489d70d200
15503a9d259
hex2fe51f5c0

12856718784 has 336 divisors, whose sum is σ = 44002000896. Its totient is φ = 3280435200.

The previous prime is 12856718711. The next prime is 12856718801. The reversal of 12856718784 is 48781765821.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3789729 + ... + 3793119.

It is an arithmetic number, because the mean of its divisors is an integer number (130958336).

Almost surely, 212856718784 is an apocalyptic number.

12856718784 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 12856718784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001000448).

12856718784 is an abundant number, since it is smaller than the sum of its proper divisors (31145282112).

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

12856718784 is a wasteful number, since it uses less digits than its factorization.

12856718784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3447 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The spelling of 12856718784 in words is "twelve billion, eight hundred fifty-six million, seven hundred eighteen thousand, seven hundred eighty-four".