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312727666311 = 322312491209577
BaseRepresentation
bin1001000110100000000…
…01010111111010000111
31002220012112021110121200
410203100001113322013
520110431240310221
6355355355113543
731410453206244
oct4432001277207
91086175243550
10312727666311
11110699684395
1250737a428b3
132364a96b4c8
14111c965a5cb
158204c69426
hex48d0057e87

312727666311 has 24 divisors (see below), whose sum is σ = 471735420000. Its totient is φ = 199260711936.

The previous prime is 312727666259. The next prime is 312727666369. The reversal of 312727666311 is 113666727213.

It is not a de Polignac number, because 312727666311 - 26 = 312727666247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312727666711) 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 23 ways as a sum of consecutive naturals, for example, 346246 + ... + 863331.

It is an arithmetic number, because the mean of its divisors is an integer number (19655642500).

Almost surely, 2312727666311 is an apocalyptic number.

312727666311 is a deficient number, since it is larger than the sum of its proper divisors (159007753689).

312727666311 is a wasteful number, since it uses less digits than its factorization.

312727666311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210855 (or 1210852 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 312727666311 in words is "three hundred twelve billion, seven hundred twenty-seven million, six hundred sixty-six thousand, three hundred eleven".

Divisors: 1 3 9 23 69 207 1249 3747 11241 28727 86181 258543 1209577 3628731 10886193 27820271 83460813 250382439 1510761673 4532285019 13596855057 34747518479 104242555437 312727666311