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86213102880 = 2535214183891
BaseRepresentation
bin101000001001010110…
…0111000110100100000
322020112100011101212110
41100102230320310200
52403031023243010
6103334501555320
76141304166112
oct1202254706440
9266470141773
1086213102880
113362105a253
1214860715b40
13818c3c4b58
14425bdbb3b2
152398b9d120
hex1412b38d20

86213102880 has 96 divisors (see below), whose sum is σ = 271701355968. Its totient is φ = 22979148800.

The previous prime is 86213102873. The next prime is 86213102909. The reversal of 86213102880 is 8820131268.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×862131028803 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985735 + ... + 1069625.

It is an arithmetic number, because the mean of its divisors is an integer number (2830222458).

Almost surely, 286213102880 is an apocalyptic number.

86213102880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86213102880 is an abundant number, since it is smaller than the sum of its proper divisors (185488253088).

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

86213102880 is a wasteful number, since it uses less digits than its factorization.

86213102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86050 (or 86042 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 86213102880 in words is "eighty-six billion, two hundred thirteen million, one hundred two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2141 4282 6423 8564 10705 12846 17128 21410 25692 32115 34256 42820 51384 64230 68512 83891 85640 102768 128460 167782 171280 205536 251673 256920 335564 342560 419455 503346 513840 671128 838910 1006692 1027680 1258365 1342256 1677820 2013384 2516730 2684512 3355640 4026768 5033460 6711280 8053536 10066920 13422560 20133840 40267680 179610631 359221262 538831893 718442524 898053155 1077663786 1436885048 1796106310 2155327572 2694159465 2873770096 3592212620 4310655144 5388318930 5747540192 7184425240 8621310288 10776637860 14368850480 17242620576 21553275720 28737700960 43106551440 86213102880