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518518052091312 = 24373132422619291
BaseRepresentation
bin111010111100101101110010…
…0010011011111010110110000
32111222220211201120121021020020
41311321123210103133112300
51020430344432313410222
65034443523225043440
7214134456463551000
oct16571334423372660
92458824646537206
10518518052091312
111402412a8738949
124a1a4332626580
13193430724cc960
14920859c758000
153ee2ca013265c
hex1d796e44df5b0

518518052091312 has 160 divisors (see below), whose sum is σ = 1682266836364800. Its totient is φ = 136752013681920.

The previous prime is 518518052091311. The next prime is 518518052091317. The reversal of 518518052091312 is 213190250815815.

It is not an unprimeable number, because it can be changed into a prime (518518052091311) 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, 1211095614 + ... + 1211523677.

It is an arithmetic number, because the mean of its divisors is an integer number (10514167727280).

Almost surely, 2518518052091312 is an apocalyptic number.

518518052091312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

518518052091312 is an abundant number, since it is smaller than the sum of its proper divisors (1163748784273488).

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

518518052091312 is a wasteful number, since it uses less digits than its factorization.

518518052091312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422619336 (or 2422619316 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 51.

The spelling of 518518052091312 in words is "five hundred eighteen trillion, five hundred eighteen billion, fifty-two million, ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2548 2744 3822 4116 4368 4459 5096 5488 7644 8232 8918 10192 13377 15288 16464 17836 26754 30576 35672 53508 71344 107016 214032 2422619291 4845238582 7267857873 9690477164 14535715746 16958335037 19380954328 29071431492 31494050783 33916670074 38761908656 50875005111 58142862984 62988101566 67833340148 94482152349 101750010222 116285725968 118708345259 125976203132 135666680296 188964304698 203500020444 220458355481 237416690518 251952406264 271333360592 356125035777 377928609396 407000040888 440916710962 474833381036 503904812528 661375066443 712250071554 755857218792 814000081776 830958416813 881833421924 949666762072 1322750132886 1424500143108 1511714437584 1543208488367 1661916833626 1763666843848 1899333524144 2492875250439 2645500265772 2849000286216 3086416976734 3323833667252 3527333687696 4629625465101 4985750500878 5291000531544 5698000572432 6172833953468 6647667334504 9259250930202 9971501001756 10582001063088 10802459418569 12345667906936 13295334669008 18518501860404 19943002003512 21604918837138 24691335813872 32407378255707 37037003720808 39886004007024 43209837674276 64814756511414 74074007441616 86419675348552 129629513022828 172839350697104 259259026045656 518518052091312