Search a number
-
+
12296086176 = 2531111644021
BaseRepresentation
bin10110111001110011…
…10110001010100000
31011201221020220020010
423130321312022200
5200140244224201
65352043444520
7613465002513
oct133471661240
934657226203
1012296086176
11523a9025a0
122471b26740
13120c5c204a
14849092d7a
154be759bd6
hex2dce762a0

12296086176 has 48 divisors (see below), whose sum is σ = 35211522528. Its totient is φ = 3726086400.

The previous prime is 12296086169. The next prime is 12296086177. The reversal of 12296086176 is 67168069221.

12296086176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12296086177) 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 7 ways as a sum of consecutive naturals, for example, 5820955 + ... + 5823066.

It is an arithmetic number, because the mean of its divisors is an integer number (733573386).

Almost surely, 212296086176 is an apocalyptic number.

12296086176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12296086176 is an abundant number, since it is smaller than the sum of its proper divisors (22915436352).

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

12296086176 is a wasteful number, since it uses less digits than its factorization.

12296086176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644045 (or 11644037 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12296086176 in words is "twelve billion, two hundred ninety-six million, eighty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11644021 23288042 34932063 46576084 69864126 93152168 128084231 139728252 186304336 256168462 279456504 372608672 384252693 512336924 558913008 768505386 1024673848 1117826016 1537010772 2049347696 3074021544 4098695392 6148043088 12296086176