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12345704641 = 2337139104369
BaseRepresentation
bin10110111111101110…
…01000000011000001
31011212101121202222001
423133313020003001
5200241000022031
65401015144001
7614636520664
oct133767100301
934771552861
1012345704641
115265912696
122486675001
13121997589a
148518cb6db
154c3cab861
hex2dfdc80c1

12345704641 has 16 divisors (see below), whose sum is σ = 13325961600. Its totient is φ = 11407004928.

The previous prime is 12345704639. The next prime is 12345704659. The reversal of 12345704641 is 14640754321.

12345704641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12345704641 - 21 = 12345704639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12345704641.

It is not an unprimeable number, because it can be changed into a prime (12345704621) 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 15 ways as a sum of consecutive naturals, for example, 66105 + ... + 170473.

It is an arithmetic number, because the mean of its divisors is an integer number (832872600).

Almost surely, 212345704641 is an apocalyptic number.

It is an amenable number.

12345704641 is a deficient number, since it is larger than the sum of its proper divisors (980256959).

12345704641 is a wasteful number, since it uses less digits than its factorization.

12345704641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104568.

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 12345704641 in words is "twelve billion, three hundred forty-five million, seven hundred four thousand, six hundred forty-one".

Divisors: 1 23 37 139 851 3197 5143 104369 118289 2400487 3861653 14507291 88818019 333667693 536769767 12345704641