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12165379165 = 541379715629
BaseRepresentation
bin10110101010001110…
…01111010001011101
31011101211022021220201
423111013033101131
5144403314113130
65331054143501
7610320005512
oct132507172135
934354267821
1012165379165
115183048475
1224361b1b91
1311bb4b9814
1483598b309
154b303bbca
hex2d51cf45d

12165379165 has 16 divisors (see below), whose sum is σ = 14959410480. Its totient is φ = 9491822080.

The previous prime is 12165379133. The next prime is 12165379169. The reversal of 12165379165 is 56197356121.

It can be written as a sum of positive squares in 8 ways, for example, as 1143318969 + 11022060196 = 33813^2 + 104986^2 .

It is not a de Polignac number, because 12165379165 - 25 = 12165379133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12165379169) 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, 770571 + ... + 786199.

It is an arithmetic number, because the mean of its divisors is an integer number (934963155).

Almost surely, 212165379165 is an apocalyptic number.

It is an amenable number.

12165379165 is a deficient number, since it is larger than the sum of its proper divisors (2794031315).

12165379165 is a wasteful number, since it uses less digits than its factorization.

12165379165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19472.

The product of its digits is 340200, while the sum is 46.

The spelling of 12165379165 in words is "twelve billion, one hundred sixty-five million, three hundred seventy-nine thousand, one hundred sixty-five".

Divisors: 1 5 41 205 3797 15629 18985 78145 155677 640789 778385 3203945 59343313 296716565 2433075833 12165379165