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12160104676 = 22431016911013
BaseRepresentation
bin10110101001100110…
…00111100011100100
31011101110101022200021
423110303013203210
5144400441322201
65330345124524
7610224120136
oct132463074344
934343338607
1012160104676
115180075695
122434489744
1311ba390b15
14834db7056
154b2848ea1
hex2d4cc78e4

12160104676 has 48 divisors (see below), whose sum is σ = 22044230208. Its totient is φ = 5865552000.

The previous prime is 12160104673. The next prime is 12160104689. The reversal of 12160104676 is 67640106121.

12160104676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12160104673) 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, 12003546 + ... + 12004558.

It is an arithmetic number, because the mean of its divisors is an integer number (459254796).

Almost surely, 212160104676 is an apocalyptic number.

It is an amenable number.

12160104676 is a deficient number, since it is larger than the sum of its proper divisors (9884125532).

12160104676 is a wasteful number, since it uses less digits than its factorization.

12160104676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12160104676 in words is "twelve billion, one hundred sixty million, one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 4 43 86 101 172 202 404 691 1013 1382 2026 2764 4052 4343 8686 17372 29713 43559 59426 69791 87118 102313 118852 139582 174236 204626 279164 409252 699983 1399966 2799932 3001013 4399459 6002026 8798918 12004052 17597836 30099269 60198538 70698283 120397076 141396566 282793132 3040026169 6080052338 12160104676