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86000837736 = 233111720899173
BaseRepresentation
bin101000000011000001…
…1001010010001101000
322012222112202012211110
41100012003022101220
52402112203301421
6103301440230320
76133116026232
oct1200603122150
9265875665743
1086000837736
113352225a310
121480160b3a0
138157434c88
14423bb25252
15238521ea76
hex14060ca468

86000837736 has 128 divisors (see below), whose sum is σ = 248490633600. Its totient is φ = 24513454080.

The previous prime is 86000837723. The next prime is 86000837759. The reversal of 86000837736 is 63773800068.

It is a super-2 number, since 2×860008377362 (a number of 23 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, 9370846 + ... + 9380018.

It is an arithmetic number, because the mean of its divisors is an integer number (1941333075).

Almost surely, 286000837736 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 86000837736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124245316800).

86000837736 is an abundant number, since it is smaller than the sum of its proper divisors (162489795864).

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

86000837736 is a wasteful number, since it uses less digits than its factorization.

86000837736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 86000837736 in words is "eighty-six billion, eight hundred thirty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2089 2244 4178 4488 6267 8356 9173 12534 16712 18346 22979 25068 27519 35513 36692 45958 50136 55038 68937 71026 73384 91916 100903 106539 110076 137874 142052 155941 183832 201806 213078 220152 275748 284104 302709 311882 390643 403612 426156 467823 551496 605418 623764 781286 807224 852312 935646 1171929 1210836 1247528 1562572 1715351 1871292 2343858 2421672 3125144 3430702 3742584 4687716 5146053 6861404 9375432 10292106 13722808 19162397 20584212 38324794 41168424 57487191 76649588 114974382 153299176 210786367 229948764 325760749 421572734 459897528 632359101 651521498 843145468 977282247 1264718202 1303042996 1686290936 1954564494 2529436404 2606085992 3583368239 3909128988 5058872808 7166736478 7818257976 10750104717 14333472956 21500209434 28666945912 43000418868 86000837736