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316461515656 = 2311134615471097
BaseRepresentation
bin1001001101011101001…
…00111000001110001000
31010020211202011200000011
410212232210320032020
520141103122000111
6401214100321304
731602132333346
oct4465644701610
91106752150004
10316461515656
111122353036a0
12513ba3a3234
1323ac43b4210
14114614cc996
15837296a021
hex49ae938388

316461515656 has 128 divisors (see below), whose sum is σ = 700527864960. Its totient is φ = 132130252800.

The previous prime is 316461515599. The next prime is 316461515683. The reversal of 316461515656 is 656515164613.

It is a super-2 number, since 2×3164615156562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288478500 + ... + 288479596.

It is an arithmetic number, because the mean of its divisors is an integer number (5472873945).

Almost surely, 2316461515656 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 316461515656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350263932480).

316461515656 is an abundant number, since it is smaller than the sum of its proper divisors (384066349304).

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

316461515656 is a wasteful number, since it uses less digits than its factorization.

316461515656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2131 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 49.

The spelling of 316461515656 in words is "three hundred sixteen billion, four hundred sixty-one million, five hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 461 547 572 922 1094 1097 1144 1844 2188 2194 3688 4376 4388 5071 5993 6017 7111 8776 10142 11986 12034 12067 14222 14261 20284 23972 24068 24134 28444 28522 40568 47944 48136 48268 56888 57044 65923 78221 96536 114088 131846 156442 156871 252167 263692 312884 313742 504334 505717 527384 600059 625768 627484 1008668 1011434 1200118 1254968 2017336 2022868 2400236 2773837 3278171 4045736 4800472 5547674 5562887 6556342 6574321 6600649 7800767 11095348 11125774 13112684 13148642 13201298 15601534 22190696 22251548 26225368 26297284 26402596 31203068 36059881 44503096 52594568 52805192 62406136 72119762 72317531 85808437 144239524 144635062 171616874 276627199 288479048 289270124 343233748 553254398 578540248 686467496 1106508796 2213017592 3042899189 3596153587 6085798378 7192307174 12171596756 14384614348 24343193512 28769228696 39557689457 79115378914 158230757828 316461515656