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316616442012 = 22321317310313793
BaseRepresentation
bin1001001101101111100…
…11111000000010011100
31010021020112200202000100
410212313303320002130
520141412302121022
6401241313101100
731606023231603
oct4466763700234
91107215622010
10316616442012
11112304800102
1251442257790
1323b1a519510
1411477cdaa3a
15838136e1ac
hex49b7cf809c

316616442012 has 144 divisors (see below), whose sum is σ = 867951983808. Its totient is φ = 96737863680.

The previous prime is 316616441969. The next prime is 316616442029. The reversal of 316616442012 is 210244616613.

316616442012 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 1 + 644 + 2 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83471988 + ... + 83475780.

It is an arithmetic number, because the mean of its divisors is an integer number (6027444332).

Almost surely, 2316616442012 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 316616442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433975991904).

316616442012 is an abundant number, since it is smaller than the sum of its proper divisors (551335541796).

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

316616442012 is a wasteful number, since it uses less digits than its factorization.

316616442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 316616442012 in words is "three hundred sixteen billion, six hundred sixteen million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1031 1038 1557 2062 2076 2249 3093 3114 3793 4124 4498 6186 6228 6747 7586 8996 9279 11379 12372 13403 13494 15172 18558 20241 22758 26806 26988 34137 37116 40209 40482 45516 49309 53612 68274 80418 80964 98618 120627 136548 147927 160836 178363 197236 241254 295854 356726 443781 482508 535089 591708 656189 713452 887562 1070178 1312378 1605267 1775124 1968567 2140356 2318719 2624756 3210534 3910583 3937134 4637438 5905701 6421068 6956157 7821166 7874268 8530457 9274876 11731749 11811402 13912314 15642332 17060914 20868471 23463498 23622804 25591371 27824628 34121828 35195247 41736942 46926996 50837579 51182742 70390494 76774113 83473884 101675158 102365484 140780988 152512737 153548226 203350316 305025474 307096452 457538211 610050948 676530859 915076422 1353061718 1830152844 2029592577 2706123436 4059185154 6088777731 8118370308 8794901167 12177555462 17589802334 24355110924 26384703501 35179604668 52769407002 79154110503 105538814004 158308221006 316616442012