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12345106461 = 317534567187
BaseRepresentation
bin10110111111101001…
…10110000000011101
31011212100111101102020
423133310312000131
5200240321401321
65400554250353
7614631450012
oct133764660035
934770441366
1012345106461
115265544226
1224864269b9
1312197c652c
148517b3709
154c3bde4c6
hex2dfd3601d

12345106461 has 16 divisors (see below), whose sum is σ = 17757226944. Its totient is φ = 7599797504.

The previous prime is 12345106451. The next prime is 12345106523. The reversal of 12345106461 is 16460154321.

It is not a de Polignac number, because 12345106461 - 211 = 12345104413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345106451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280891 + ... + 2286296.

It is an arithmetic number, because the mean of its divisors is an integer number (1109826684).

Almost surely, 212345106461 is an apocalyptic number.

It is an amenable number.

12345106461 is a deficient number, since it is larger than the sum of its proper divisors (5412120483).

12345106461 is a wasteful number, since it uses less digits than its factorization.

12345106461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567260.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12345106461 in words is "twelve billion, three hundred forty-five million, one hundred six thousand, four hundred sixty-one".

Divisors: 1 3 17 51 53 159 901 2703 4567187 13701561 77642179 232926537 242060911 726182733 4115035487 12345106461