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12683824319 = 191016609601
BaseRepresentation
bin10111101000000001…
…11100110010111111
31012201221212000222002
423310000330302333
5201434024334234
65454334212515
7626213504435
oct136400746277
935657760862
1012683824319
115419762a41
12255b95413b
131271a2c3ba
14884784d55
154e37ea27e
hex2f403ccbf

12683824319 has 8 divisors (see below), whose sum is σ = 13483588080. Its totient is φ = 11897280000.

The previous prime is 12683824301. The next prime is 12683824369. The reversal of 12683824319 is 91342838621.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12683824319 - 212 = 12683820223 is a prime.

It is a super-2 number, since 2×126838243192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12683824369) 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, 3302882 + ... + 3306719.

It is an arithmetic number, because the mean of its divisors is an integer number (1685448510).

Almost surely, 212683824319 is an apocalyptic number.

12683824319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12683824319 is a deficient number, since it is larger than the sum of its proper divisors (799763761).

12683824319 is a wasteful number, since it uses less digits than its factorization.

12683824319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609721.

The product of its digits is 497664, while the sum is 47.

The spelling of 12683824319 in words is "twelve billion, six hundred eighty-three million, eight hundred twenty-four thousand, three hundred nineteen".

Divisors: 1 19 101 1919 6609601 125582419 667569701 12683824319