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86172516164 = 227123114511723
BaseRepresentation
bin101000001000001001…
…0000011111101000100
322020102111210101100202
41100100102003331010
52402440131004124
6103330452030032
76140302205360
oct1202022037504
9266374711322
1086172516164
1133600158909
121484b002318
138183b84247
1442568542a0
1523953325ae
hex1410483f44

86172516164 has 48 divisors (see below), whose sum is σ = 172704086016. Its totient is φ = 36854244000.

The previous prime is 86172516127. The next prime is 86172516203. The reversal of 86172516164 is 46161527168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50012207 + ... + 50013929.

It is an arithmetic number, because the mean of its divisors is an integer number (3598001792).

Almost surely, 286172516164 is an apocalyptic number.

It is an amenable number.

86172516164 is an abundant number, since it is smaller than the sum of its proper divisors (86531569852).

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

86172516164 is a wasteful number, since it uses less digits than its factorization.

86172516164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4414 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The spelling of 86172516164 in words is "eighty-six billion, one hundred seventy-two million, five hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 1231 1451 1723 2462 2902 3446 4924 5804 6892 8617 10157 12061 17234 20314 24122 34468 40628 48244 1786181 2121013 2500073 3572362 4242026 5000146 7144724 8484052 10000292 12503267 14847091 17500511 25006534 29694182 35001022 50013068 59388364 70002044 3077589863 6155179726 12310359452 21543129041 43086258082 86172516164