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42886911950568 = 23327217715067893
BaseRepresentation
bin10011100000001011000110…
…01001101111111011101000
312121211221121122002010221100
421300011203021233323220
521110124343424404233
6231113550402241400
712014322441534600
oct1160054311577350
9177757548063840
1042886911950568
1112735267811474
124987930056260
131ac12abbc808a
14a83a48025c00
154e58c11d0813
hex27016326fee8

42886911950568 has 144 divisors (see below), whose sum is σ = 143063633552580. Its totient is φ = 11532614962176.

The previous prime is 42886911950543. The next prime is 42886911950581. The reversal of 42886911950568 is 86505911968824.

42886911950568 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 6 + 9 + 1 + 1 + 9 + 50 + 568 = 666.

42886911950568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33214451187204 + 9672460763364 = 5763198^2 + 3110058^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42886911950496 and 42886911950505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357473971 + ... + 357593922.

Almost surely, 242886911950568 is an apocalyptic number.

It is an amenable number.

42886911950568 is an abundant number, since it is smaller than the sum of its proper divisors (100176721602012).

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

42886911950568 is a wasteful number, since it uses less digits than its factorization.

42886911950568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715067936 (or 715067922 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 42886911950568 in words is "forty-two trillion, eight hundred eighty-six billion, nine hundred eleven million, nine hundred fifty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 715067893 1430135786 2145203679 2860271572 4290407358 5005475251 5720543144 6435611037 8580814716 10010950502 12156154181 12871222074 15016425753 17161629432 20021901004 24312308362 25742444148 30032851506 35038326757 36468462543 40043802008 45049277259 48624616724 51484888296 60065703012 70076653514 72936925086 85093079267 90098554518 97249233448 105114980271 109405387629 120131406024 140153307028 145873850172 170186158534 180197109036 210229960542 218810775258 255279237801 280306614056 291747700344 315344940813 340372317068 360394218072 420459921084 437621550516 510558475602 595651554869 630689881626 680744634136 765837713403 840919842168 875243101032 1021116951204 1191303109738 1261379763252 1531675426806 1786954664607 2042233902408 2382606219476 2522759526504 3063350853612 3573909329214 4765212438952 5360863993821 6126701707224 7147818658428 10721727987642 14295637316856 21443455975284 42886911950568