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86545072764 = 22322411997109
BaseRepresentation
bin101000010011001111…
…1010000001001111100
322021101110211012221100
41100212133100021330
52404221014312024
6103431441133100
76152444660253
oct1204637201174
9267343735840
1086545072764
113378148a127
121493392a190
138213107437
14429011379a
1523b7dc47c9
hex14267d027c

86545072764 has 36 divisors (see below), whose sum is σ = 218857668120. Its totient is φ = 28836363360.

The previous prime is 86545072741. The next prime is 86545072781. The reversal of 86545072764 is 46727054568.

It is a happy number.

86545072764 is a `hidden beast` number, since 8 + 6 + 54 + 507 + 27 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86545072764.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 411759 + ... + 585350.

It is an arithmetic number, because the mean of its divisors is an integer number (6079379670).

Almost surely, 286545072764 is an apocalyptic number.

It is an amenable number.

86545072764 is an abundant number, since it is smaller than the sum of its proper divisors (132312595356).

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

86545072764 is a wasteful number, since it uses less digits than its factorization.

86545072764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999530 (or 999525 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 86545072764 in words is "eighty-six billion, five hundred forty-five million, seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2411 4822 7233 9644 14466 21699 28932 43398 86796 997109 1994218 2991327 3988436 5982654 8973981 11965308 17947962 35895924 2404029799 4808059598 7212089397 9616119196 14424178794 21636268191 28848357588 43272536382 86545072764