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86286619610688 = 2637137468623021
BaseRepresentation
bin10011100111101000101011…
…010011111000111001000000
3102022111220211212202101202210
4103213220223103320321000
542302204444110020223
6503303305324342120
724114000605122620
oct2347505323707100
9368456755671683
1086286619610688
1125547a4a312302
129816b123a4940
13391ba40bb5793
14174441a81c880
159e97a6540893
hex4e7a2b4f8e40

86286619610688 has 112 divisors (see below), whose sum is σ = 262818786674304. Its totient is φ = 24473368596480.

The previous prime is 86286619610669. The next prime is 86286619610713. The reversal of 86286619610688 is 88601691668268.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234127383 + ... + 234495638.

It is an arithmetic number, because the mean of its divisors is an integer number (2346596309592).

Almost surely, 286286619610688 is an apocalyptic number.

It is an amenable number.

86286619610688 is an abundant number, since it is smaller than the sum of its proper divisors (176532167063616).

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

86286619610688 is a wasteful number, since it uses less digits than its factorization.

86286619610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468623180 (or 468623170 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 75.

The spelling of 86286619610688 in words is "eighty-six trillion, two hundred eighty-six billion, six hundred nineteen million, six hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 274 336 411 448 548 672 822 959 1096 1344 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 8768 11508 13152 15344 23016 26304 30688 46032 61376 92064 184128 468623021 937246042 1405869063 1874492084 2811738126 3280361147 3748984168 5623476252 6560722294 7497968336 9841083441 11246952504 13121444588 14995936672 19682166882 22493905008 26242889176 29991873344 39364333764 44987810016 52485778352 64201353877 78728667528 89975620032 104971556704 128402707754 157457335056 192604061631 209943113408 256805415508 314914670112 385208123262 449409477139 513610831016 629829340224 770416246524 898818954278 1027221662032 1348228431417 1540832493048 1797637908556 2054443324064 2696456862834 3081664986096 3595275817112 4108886648128 5392913725668 6163329972192 7190551634224 10785827451336 12326659944384 14381103268448 21571654902672 28762206536896 43143309805344 86286619610688