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86887455012 = 223219713375309
BaseRepresentation
bin101000011101011100…
…1010101100100100100
322022021100002001002100
41100322321111210210
52410421142030022
6103525431412100
76164103116241
oct1207271254444
9268240061070
1086887455012
1133937780a66
1214a0a524030
138269024197
1442c379a5c8
1523d7ea61ac
hex143ae55924

86887455012 has 144 divisors (see below), whose sum is σ = 235187971200. Its totient is φ = 26966338560.

The previous prime is 86887454963. The next prime is 86887455047. The reversal of 86887455012 is 21055478868.

86887455012 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 74 + 550 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86887455012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16363414 + ... + 16368722.

It is an arithmetic number, because the mean of its divisors is an integer number (1633249800).

Almost surely, 286887455012 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 86887455012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117593985600).

86887455012 is an abundant number, since it is smaller than the sum of its proper divisors (148300516188).

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

86887455012 is a wasteful number, since it uses less digits than its factorization.

86887455012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 86887455012 in words is "eighty-six billion, eight hundred eighty-seven million, four hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 337 342 426 639 674 684 852 1011 1278 1348 1349 2022 2556 2698 3033 4044 4047 5309 5396 6066 6403 8094 10618 12132 12141 12806 15927 16188 19209 21236 23927 24282 25612 31854 38418 47781 47854 48564 57627 63708 71781 76836 95562 95708 100871 115254 143562 191124 201742 215343 230508 287124 302613 376939 403484 430686 454613 605226 753878 861372 907839 909226 1130817 1210452 1363839 1507756 1789133 1815678 1818452 2261634 2727678 3392451 3578266 3631356 4091517 4523268 5367399 5455356 6784902 7156532 7161841 8183034 10734798 13569804 14323682 16102197 16366068 21469596 21485523 28647364 32204394 33993527 42971046 64408788 64456569 67987054 85942092 101980581 127028443 128913138 135974108 203961162 254056886 257826276 305941743 381085329 407922324 508113772 611883486 762170658 1143255987 1223766972 1524341316 2286511974 2413540417 4573023948 4827080834 7240621251 9654161668 14481242502 21721863753 28962485004 43443727506 86887455012