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86460568065 = 32510131896689
BaseRepresentation
bin101000010000101110…
…0111001001000000001
322021011120210221021200
41100201130321020001
52404032401134230
6103415222011413
76150400463004
oct1204134711001
9267146727250
1086460568065
1133738811533
121490b576b69
1381cb75a861
144282bd753b
1523b0781160
hex1421739201

86460568065 has 24 divisors (see below), whose sum is σ = 150013005480. Its totient is φ = 46066758144.

The previous prime is 86460568057. The next prime is 86460568087. The reversal of 86460568065 is 56086506468.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2948815809 + 83511752256 = 54303^2 + 288984^2 .

It is not a de Polignac number, because 86460568065 - 23 = 86460568057 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 902760 + ... + 993929.

It is an arithmetic number, because the mean of its divisors is an integer number (6250541895).

Almost surely, 286460568065 is an apocalyptic number.

It is an amenable number.

86460568065 is a deficient number, since it is larger than the sum of its proper divisors (63552437415).

86460568065 is a wasteful number, since it uses less digits than its factorization.

86460568065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897713 (or 1897710 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 86460568065 in words is "eighty-six billion, four hundred sixty million, five hundred sixty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 45 1013 3039 5065 9117 15195 45585 1896689 5690067 9483445 17070201 28450335 85351005 1921345957 5764037871 9606729785 17292113613 28820189355 86460568065