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316380217464 = 23338011182839
BaseRepresentation
bin1001001101010011011…
…10110000000001111000
31010020122002012021212000
410212221232300001320
520140421313424324
6401202034021000
731600124322363
oct4465156600170
91106562167760
10316380217464
111121a3426103
1251397117760
1323ab05bac8c
14114547a90da
15836a75b9c9
hex49a9bb0078

316380217464 has 64 divisors (see below), whose sum is σ = 878948448000. Its totient is φ = 105446331360.

The previous prime is 316380217403. The next prime is 316380217469. The reversal of 316380217464 is 464712083613.

316380217464 is a `hidden beast` number, since 3 + 1 + 638 + 0 + 2 + 1 + 7 + 4 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316380217469) 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 15 ways as a sum of consecutive naturals, for example, 1638957 + ... + 1821795.

It is an arithmetic number, because the mean of its divisors is an integer number (13733569500).

Almost surely, 2316380217464 is an apocalyptic number.

It is an amenable number.

316380217464 is an abundant number, since it is smaller than the sum of its proper divisors (562568230536).

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

316380217464 is a wasteful number, since it uses less digits than its factorization.

316380217464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190865 (or 190855 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 316380217464 in words is "three hundred sixteen billion, three hundred eighty million, two hundred seventeen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 8011 16022 24033 32044 48066 64088 72099 96132 144198 182839 192264 216297 288396 365678 432594 548517 576792 731356 865188 1097034 1462712 1645551 1730376 2194068 3291102 4388136 4936653 6582204 9873306 13164408 19746612 39493224 1464723229 2929446458 4394169687 5858892916 8788339374 11717785832 13182509061 17576678748 26365018122 35153357496 39547527183 52730036244 79095054366 105460072488 158190108732 316380217464