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12307241584 = 2411411705549
BaseRepresentation
bin10110111011001000…
…11001101001110000
31011202201020122120101
423131210121221300
5200201123212314
65353122522144
7613661553541
oct133544315160
934681218511
1012307241584
115246131840
122475806354
1312119c9791
1484a7584c8
154c0710174
hex2dd919a70

12307241584 has 40 divisors (see below), whose sum is σ = 26647513200. Its totient is φ = 5457753600.

The previous prime is 12307241581. The next prime is 12307241593. The reversal of 12307241584 is 48514270321.

12307241584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307241581) by changing a digit.

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, 845559 + ... + 859990.

It is an arithmetic number, because the mean of its divisors is an integer number (666187830).

Almost surely, 212307241584 is an apocalyptic number.

It is an amenable number.

12307241584 is an abundant number, since it is smaller than the sum of its proper divisors (14340271616).

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

12307241584 is a wasteful number, since it uses less digits than its factorization.

12307241584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705609 (or 1705603 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 12307241584 in words is "twelve billion, three hundred seven million, two hundred forty-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 1705549 3411098 6822196 13644392 18761039 27288784 37522078 69927509 75044156 139855018 150088312 279710036 300176624 559420072 769202599 1118840144 1538405198 3076810396 6153620792 12307241584