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12747360000 = 2835426557
BaseRepresentation
bin10111101111100110…
…10100011100000000
31012220101101222112110
423313303110130000
5202101311010000
65504524055320
7630614525604
oct136763243400
935811358473
1012747360000
115451609271
122579094540
131281c4678b
1488cda3504
154e919a850
hex2f7cd4700

12747360000 has 180 divisors, whose sum is σ = 42396235112. Its totient is φ = 3399168000.

The previous prime is 12747359981. The next prime is 12747360011. The reversal of 12747360000 is 6374721.

12747360000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12747360000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 466722 + ... + 493278.

Almost surely, 212747360000 is an apocalyptic number.

12747360000 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 12747360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198117556).

12747360000 is an abundant number, since it is smaller than the sum of its proper divisors (29648875112).

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

12747360000 is an frugal number, since it uses more digits than its factorization.

12747360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26596 (or 26567 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 12747360000 in words is "twelve billion, seven hundred forty-seven million, three hundred sixty thousand".