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316807872416 = 257335298179
BaseRepresentation
bin1001001110000110011…
…10000111111110100000
31010021201212220102011022
410213003032013332200
520142310303404131
6401312312105012
731613536325000
oct4470316077640
91107655812138
10316807872416
111123a286a652
1251496395168
1323b4b093049
14114954cc000
15839308437b
hex49c3387fa0

316807872416 has 96 divisors (see below), whose sum is σ = 727660080000. Its totient is φ = 135719732736.

The previous prime is 316807872391. The next prime is 316807872497. The reversal of 316807872416 is 614278708613.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38730215 + ... + 38738393.

It is an arithmetic number, because the mean of its divisors is an integer number (7579792500).

Almost surely, 2316807872416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316807872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363830040000).

316807872416 is an abundant number, since it is smaller than the sum of its proper divisors (410852207584).

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

316807872416 is an equidigital number, since it uses as much as digits as its factorization.

316807872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 316807872416 in words is "three hundred sixteen billion, eight hundred seven million, eight hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 3529 5488 7058 8179 10976 14116 16358 24703 28232 32716 49406 56464 57253 65432 98812 112928 114506 130864 172921 197624 229012 261728 345842 395248 400771 458024 691684 790496 801542 916048 1210447 1383368 1603084 1832096 2420894 2766736 2805397 3206168 4841788 5533472 5610794 6412336 9683576 11221588 12824672 19367152 22443176 28863691 38734304 44886352 57727382 89772704 115454764 202045837 230909528 404091674 461819056 808183348 923638112 1414320859 1616366696 2828641718 3232733392 5657283436 6465466784 9900246013 11314566872 19800492026 22629133744 39600984052 45258267488 79201968104 158403936208 316807872416