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86337383104272 = 24343191509430267
BaseRepresentation
bin10011101000010111111101…
…000011001111111100010000
3102022200202212200020001200210
4103220113331003033330100
542304022430033314042
6503342502442244120
724120445560524316
oct2350277503177420
9368622780201623
1086337383104272
1125567529a51393
12982491aab6640
133923770b95a51
141746a746d40b6
159eac77e4aa9c
hex4e85fd0cff10

86337383104272 has 160 divisors (see below), whose sum is σ = 229871333007360. Its totient is φ = 27907672343040.

The previous prime is 86337383104151. The next prime is 86337383104309. The reversal of 86337383104272 is 27240138373368.

It is a super-2 number, since 2×863373831042722 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200444883 + ... + 200875149.

It is an arithmetic number, because the mean of its divisors is an integer number (1436695831296).

Almost surely, 286337383104272 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 86337383104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114935666503680).

86337383104272 is an abundant number, since it is smaller than the sum of its proper divisors (143533949903088).

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

86337383104272 is a wasteful number, since it uses less digits than its factorization.

86337383104272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431021 (or 431015 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 86337383104272 in words is "eighty-six trillion, three hundred thirty-seven billion, three hundred eighty-three million, one hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 191 258 344 382 509 516 573 688 764 1018 1032 1146 1527 1528 2036 2064 2292 3054 3056 4072 4584 6108 8144 8213 9168 12216 16426 21887 24432 24639 32852 43774 49278 65661 65704 87548 97219 98556 131322 131408 175096 194438 197112 262644 291657 350192 388876 394224 430267 525288 583314 777752 860534 1050576 1166628 1290801 1555504 1721068 2333256 2581602 3442136 4180417 4666512 5163204 6884272 8360834 10326408 12541251 16721668 18501481 20652816 25082502 33443336 37002962 50165004 55504443 66886672 74005924 82180997 100330008 111008886 148011848 164361994 200660016 219005903 222017772 246542991 296023696 328723988 438011806 444035544 493085982 657017709 657447976 876023612 888071088 986171964 1314035418 1314895952 1752047224 1972343928 2628070836 3504094448 3533782871 3944687856 5256141672 7067565742 9417253829 10512283344 10601348613 14135131484 18834507658 21202697226 28251761487 28270262968 37669015316 41830127473 42405394452 56503522974 56540525936 75338030632 83660254946 84810788904 113007045948 125490382419 150676061264 167320509892 169621577808 226014091896 250980764838 334641019784 452028183792 501961529676 669282039568 1003923059352 1798695481339 2007846118704 3597390962678 5396086444017 7194781925356 10792172888034 14389563850712 21584345776068 28779127701424 43168691552136 86337383104272