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86886742008132 = 223211716779455863
BaseRepresentation
bin10011110000010111100101…
…011001001010000101000100
3102101122021212102220212222200
4103300113211121022011010
542342023021423230012
6504443115050154500
724205234315255533
oct2360274531120504
9371567772825880
1086886742008132
1125759507804910
1298b3296122a30
1339634cccc91c1
1417654ab04431a
15a0a1cbed93dc
hex4f05e564a144

86886742008132 has 144 divisors (see below), whose sum is σ = 243007750702080. Its totient is φ = 25954594142400.

The previous prime is 86886742008097. The next prime is 86886742008149. The reversal of 86886742008132 is 23180024768868.

It is a self number, because there is not a number n which added to its sum of digits gives 86886742008132.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190370433 + ... + 190826295.

It is an arithmetic number, because the mean of its divisors is an integer number (1687553824320).

Almost surely, 286886742008132 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 86886742008132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121503875351040).

86886742008132 is an abundant number, since it is smaller than the sum of its proper divisors (156121008693948).

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

86886742008132 is a wasteful number, since it uses less digits than its factorization.

86886742008132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462734 (or 462729 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 86886742008132 in words is "eighty-six trillion, eight hundred eighty-six billion, seven hundred forty-two million, eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 6779 7029 9372 13558 14058 20337 27116 28116 40674 61011 74569 81348 122022 149138 223707 244044 298276 447414 455863 481309 671121 894828 911726 962618 1342242 1367589 1443927 1823452 1925236 2684484 2735178 2887854 4102767 4331781 5014493 5294399 5470356 5775708 8205534 8663562 10028986 10588798 15043479 15883197 16411068 17327124 20057972 21177596 30086958 31766394 32366273 45130437 47649591 60173916 63532788 64732546 90260874 95299182 97098819 129465092 180521748 190598364 194197638 291296457 356029003 388395276 582592914 712058006 1068087009 1165185828 1424116012 2136174018 3090295277 3204261027 4272348036 6180590554 6408522054 9270885831 12361181108 12817044108 18541771662 27812657493 33993248047 37083543324 55625314986 67986496094 101979744141 111250629972 135972992188 203959488282 219410964667 305939232423 407918976564 438821929334 611878464846 658232894001 877643858668 1223756929692 1316465788002 1974698682003 2413520611337 2632931576004 3949397364006 4827041222674 7240561834011 7898794728012 9654082445348 14481123668022 21721685502033 28962247336044 43443371004066 86886742008132