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13568110304 = 257239253439
BaseRepresentation
bin11001010001011100…
…01110111011100000
31022000120210102021212
430220232032323200
5210241414012204
610122203405252
7660142014620
oct145056167340
938016712255
1013568110304
115832932101
122767b23828
131382cb3448
14929db0880
15546270c6e
hex328b8eee0

13568110304 has 48 divisors (see below), whose sum is σ = 30656102400. Its totient is φ = 5790551424.

The previous prime is 13568110247. The next prime is 13568110327. The reversal of 13568110304 is 40301186531.

13568110304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 17087992095 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 73184 + ... + 180255.

It is an arithmetic number, because the mean of its divisors is an integer number (638668800).

Almost surely, 213568110304 is an apocalyptic number.

13568110304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13568110304 is an abundant number, since it is smaller than the sum of its proper divisors (17087992096).

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

13568110304 is a wasteful number, since it uses less digits than its factorization.

13568110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253695 (or 253687 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 13568110304 its reverse (40301186531), we get a palindrome (53869296835).

The spelling of 13568110304 in words is "thirteen billion, five hundred sixty-eight million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 3346 3824 6692 7648 13384 26768 53536 253439 506878 1013756 1774073 2027512 3548146 4055024 7096292 8110048 14192584 28385168 56770336 60571921 121143842 242287684 424003447 484575368 848006894 969150736 1696013788 1938301472 3392027576 6784055152 13568110304