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12309565842 = 233740979621
BaseRepresentation
bin10110111011011010…
…10001000110010010
31011202212121201212000
423131231101012102
5200202222101332
65353244414430
7614020404030
oct133555210622
934685551760
1012309565842
11524747a012
122476547416
131212331692
1484aba1550
154c0a1db7c
hex2ddb51192

12309565842 has 64 divisors (see below), whose sum is σ = 31339219200. Its totient is φ = 3508375680.

The previous prime is 12309565837. The next prime is 12309565859. The reversal of 12309565842 is 24856590321.

12309565842 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 9 + 565 + 84 + 2 = 666.

12309565842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123095658422 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 114792 + ... + 194412.

It is an arithmetic number, because the mean of its divisors is an integer number (489675300).

Almost surely, 212309565842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12309565842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669609600).

12309565842 is an abundant number, since it is smaller than the sum of its proper divisors (19029653358).

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

12309565842 is a wasteful number, since it uses less digits than its factorization.

12309565842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80048 (or 80042 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12309565842 in words is "twelve billion, three hundred nine million, five hundred sixty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 409 818 1227 2454 2863 3681 5726 7362 8589 11043 17178 22086 25767 51534 77301 79621 154602 159242 238863 477726 557347 716589 1114694 1433178 1672041 2149767 3344082 4299534 5016123 10032246 15048369 30096738 32564989 65129978 97694967 195389934 227954923 293084901 455909846 586169802 683864769 879254703 1367729538 1758509406 2051594307 4103188614 6154782921 12309565842