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317056554092168 = 2311731193130131799
BaseRepresentation
bin100100000010111000111101…
…1010001111100011010001000
31112120121022101101122100220222
41020011301323101330122020
5313024123310321422133
63042153434205205212
7123532402656223022
oct11005617321743210
91476538341570828
10317056554092168
1192029a25157330
122b687826560808
13107bb3c6738407
145841894b33012
15269c57de2de98
hex1205c7b47c688

317056554092168 has 128 divisors (see below), whose sum is σ = 658486166688000. Its totient is φ = 141909640704000.

The previous prime is 317056554092167. The next prime is 317056554092189. The reversal of 317056554092168 is 861290455650713.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 317056554092168.

It is not an unprimeable number, because it can be changed into a prime (317056554092167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970629533 + ... + 9970661331.

It is an arithmetic number, because the mean of its divisors is an integer number (5144423177250).

It is a 1-persistent number, because it is pandigital, but 2⋅317056554092168 = 634113108184336 is not.

Almost surely, 2317056554092168 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 317056554092168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329243083344000).

317056554092168 is an abundant number, since it is smaller than the sum of its proper divisors (341429612595832).

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

317056554092168 is a wasteful number, since it uses less digits than its factorization.

317056554092168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34383 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 317056554092168 in words is "three hundred seventeen trillion, fifty-six billion, five hundred fifty-four million, ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1193 1301 1606 2386 2602 3212 4772 5204 6424 9544 10408 13123 14311 26246 28622 31799 52492 57244 63598 87089 94973 104984 114488 127196 174178 189946 254392 348356 349789 379892 696712 699578 759784 957979 1044703 1399156 1552093 1915958 2089406 2321327 2798312 3104186 3831916 4178812 4642654 6208372 7663832 8357624 9285308 12416744 17073023 18570616 25534597 34146046 37936207 41370499 51069194 68292092 75872414 82740998 102138388 113302789 136584184 151744828 165481996 204276776 226605578 303489656 330963992 417298277 453211156 455075489 834596554 906422312 910150978 1246330679 1669193108 1820301956 2492661358 2769343111 3020046427 3338386216 3640603912 4985322716 5538686222 6040092854 9970645432 11077372444 12080185708 22154744888 24160371416 30462774221 33220510697 49355005307 60925548442 66441021394 98710010614 121851096884 132882042788 197420021228 243702193768 265764085576 394840042456 542905058377 1085810116754 2171620233508 3602915387411 4343240467016 7205830774822 14411661549644 28823323099288 39632069261521 79264138523042 158528277046084 317056554092168