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12673099296 = 2536111329131
BaseRepresentation
bin10111100110110000…
…00010011000100000
31012201012200011000000
423303120002120200
5201423303134141
65453312300000
7626023365234
oct136330023040
935635604000
1012673099296
1154136a8090
122558241600
13126c745830
148831925c4
154e28cc5b6
hex2f3602620

12673099296 has 672 divisors, whose sum is σ = 45810515520. Its totient is φ = 3396556800.

The previous prime is 12673099261. The next prime is 12673099319. The reversal of 12673099296 is 69299037621.

12673099296 is a `hidden beast` number, since 1 + 267 + 3 + 0 + 99 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96741151 + ... + 96741281.

It is an arithmetic number, because the mean of its divisors is an integer number (68170410).

Almost surely, 212673099296 is an apocalyptic number.

12673099296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12673099296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905257760).

12673099296 is an abundant number, since it is smaller than the sum of its proper divisors (33137416224).

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

12673099296 is a wasteful number, since it uses less digits than its factorization.

12673099296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 12673099296 in words is "twelve billion, six hundred seventy-three million, ninety-nine thousand, two hundred ninety-six".