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12737085853 = 2967131163307
BaseRepresentation
bin10111101110011000…
…01000000110011101
31012212200002000001111
423313030020012131
5202041143221403
65503515542021
7630431305042
oct136714100635
935780060044
1012737085853
115446831138
12257575a911
13127ca8a1bb
1488b88b1c9
154e831b56d
hex2f730819d

12737085853 has 32 divisors (see below), whose sum is σ = 13601871360. Its totient is φ = 11909177280.

The previous prime is 12737085839. The next prime is 12737085877. The reversal of 12737085853 is 35858073721.

12737085853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12737085853 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12737085797 and 12737085806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12737085833) 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 31 ways as a sum of consecutive naturals, for example, 41488726 + ... + 41489032.

It is an arithmetic number, because the mean of its divisors is an integer number (425058480).

Almost surely, 212737085853 is an apocalyptic number.

It is an amenable number.

12737085853 is a deficient number, since it is larger than the sum of its proper divisors (864785507).

12737085853 is a wasteful number, since it uses less digits than its factorization.

12737085853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 12737085853 in words is "twelve billion, seven hundred thirty-seven million, eighty-five thousand, eight hundred fifty-three".

Divisors: 1 29 67 131 163 307 1943 3799 4727 8777 8903 10921 20569 21353 40217 50041 254533 316709 596501 619237 1166293 1430651 1451189 2694539 3352747 6555371 41488879 78141631 97229663 190105759 439209857 12737085853