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12006165164 = 2272957145009
BaseRepresentation
bin10110010111001111…
…11000101010101100
31010222201201101100212
423023213320222230
5144042034241124
65303205441552
7603344501660
oct131347705254
933881641325
1012006165164
115101192654
1223b0a102b8
131194512a56
1481c7848a0
154a408c40e
hex2cb9f8aac

12006165164 has 24 divisors (see below), whose sum is σ = 24020616480. Its totient is φ = 5143723776.

The previous prime is 12006165161. The next prime is 12006165167. The reversal of 12006165164 is 46156160021.

It is an interprime number because it is at equal distance from previous prime (12006165161) and next prime (12006165167).

It is a self number, because there is not a number n which added to its sum of digits gives 12006165164.

It is not an unprimeable number, because it can be changed into a prime (12006165161) 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 7 ways as a sum of consecutive naturals, for example, 10292 + ... + 155300.

It is an arithmetic number, because the mean of its divisors is an integer number (1000859020).

Almost surely, 212006165164 is an apocalyptic number.

12006165164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12006165164 is an abundant number, since it is smaller than the sum of its proper divisors (12014451316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12006165164 is a wasteful number, since it uses less digits than its factorization.

12006165164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147977 (or 147975 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 12006165164 in words is "twelve billion, six million, one hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 2957 5914 11828 20699 41398 82796 145009 290018 580036 1015063 2030126 4060252 428791613 857583226 1715166452 3001541291 6003082582 12006165164