Search a number
-
+
316323114666516 = 2232831993323160091
BaseRepresentation
bin100011111101100011011011…
…0111000100100101000010100
31112111000012020201222010210200
41013323012312320210220110
5312430114214323312031
63040432455513020500
7123425406444036426
oct10773066670445024
91474005221863720
10316323114666516
1191876974780271
122b5896570b4730
13107671ac488299
1458181986b2816
1526884543088e6
hex11fb1b6e24a14

316323114666516 has 144 divisors (see below), whose sum is σ = 813544511270400. Its totient is φ = 103615355511360.

The previous prime is 316323114666491. The next prime is 316323114666521. The reversal of 316323114666516 is 615666411323613.

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, 1975815631 + ... + 1975975721.

It is an arithmetic number, because the mean of its divisors is an integer number (5649614661600).

Almost surely, 2316323114666516 is an apocalyptic number.

316323114666516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316323114666516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406772255635200).

316323114666516 is an abundant number, since it is smaller than the sum of its proper divisors (497221396603884).

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

316323114666516 is a wasteful number, since it uses less digits than its factorization.

316323114666516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163706 (or 163701 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 316323114666516 in words is "three hundred sixteen trillion, three hundred twenty-three billion, one hundred fourteen million, six hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 199 249 332 398 498 597 747 796 996 1194 1494 1791 2388 2988 3323 3582 6646 7164 9969 13292 16517 19938 29907 33034 39876 49551 59814 66068 99102 119628 148653 160091 198204 275809 297306 320182 480273 551618 594612 640364 661277 827427 960546 1103236 1322554 1440819 1654854 1921092 1983831 2482281 2645108 2881638 3309708 3967662 4964562 5763276 5951493 7935324 9929124 11902986 13287553 23805972 26575106 31858109 39862659 53150212 54885991 63716218 79725318 95574327 109771982 119587977 127432436 159450636 164657973 191148654 219543964 239175954 286722981 329315946 382297308 478351908 493973919 531982393 573445962 658631892 987947838 1063964786 1146891924 1595947179 1975895676 2127929572 2644223047 3191894358 4787841537 5288446094 6383788716 7932669141 9575683074 10576892188 15865338282 19151366148 23798007423 31730676564 44154538619 47596014846 88309077238 95192029692 105864496207 132463615857 176618154476 211728992414 264927231714 317593488621 397390847571 423457984828 529854463428 635186977242 794781695142 952780465863 1270373954484 1589563390284 1905560931726 3811121863452 8786753185181 17573506370362 26360259555543 35147012740724 52720519111086 79080778666629 105441038222172 158161557333258 316323114666516