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12086804304 = 243283936141
BaseRepresentation
bin10110100000110110…
…11111111101010000
31011012100110021110200
423100123133331100
5144223210214204
65315210055200
7605344066341
oct132033377520
934170407420
1012086804304
11514275aa73
122413a1a500
1311a8138013
148293760c8
154ab1ba539
hex2d06dff50

12086804304 has 30 divisors (see below), whose sum is σ = 33826265226. Its totient is φ = 4028934720.

The previous prime is 12086804299. The next prime is 12086804309. The reversal of 12086804304 is 40340868021.

It is an interprime number because it is at equal distance from previous prime (12086804299) and next prime (12086804309).

It can be written as a sum of positive squares in only one way, i.e., 10230917904 + 1855886400 = 101148^2 + 43080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086804309) 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 5 ways as a sum of consecutive naturals, for example, 41967927 + ... + 41968214.

Almost surely, 212086804304 is an apocalyptic number.

It is an amenable number.

12086804304 is an abundant number, since it is smaller than the sum of its proper divisors (21739460922).

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

12086804304 is a wasteful number, since it uses less digits than its factorization.

12086804304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83936155 (or 83936146 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12086804304 in words is "twelve billion, eighty-six million, eight hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83936141 167872282 251808423 335744564 503616846 671489128 755425269 1007233692 1342978256 1510850538 2014467384 3021701076 4028934768 6043402152 12086804304