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86185445117 is a prime number
BaseRepresentation
bin101000001000100001…
…1011000011011111101
322020110102010020112212
41100101003120123331
52403001433220432
6103332033110205
76140520124202
oct1202103303375
9266412106485
1086185445117
11336074895a2
12148533b8365
138186760005
14425845bca9
1523965382b2
hex14110d86fd

86185445117 has 2 divisors, whose sum is σ = 86185445118. Its totient is φ = 86185445116.

The previous prime is 86185445063. The next prime is 86185445167. The reversal of 86185445117 is 71154458168.

It is an a-pointer prime, because the next prime (86185445167) can be obtained adding 86185445117 to its sum of digits (50).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71655794596 + 14529650521 = 267686^2 + 120539^2 .

It is a cyclic number.

It is not a de Polignac number, because 86185445117 - 218 = 86185182973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86185445167) by changing a digit.

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 as a sum of consecutive naturals, namely, 43092722558 + 43092722559.

It is an arithmetic number, because the mean of its divisors is an integer number (43092722559).

Almost surely, 286185445117 is an apocalyptic number.

It is an amenable number.

86185445117 is a deficient number, since it is larger than the sum of its proper divisors (1).

86185445117 is an equidigital number, since it uses as much as digits as its factorization.

86185445117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1075200, while the sum is 50.

The spelling of 86185445117 in words is "eighty-six billion, one hundred eighty-five million, four hundred forty-five thousand, one hundred seventeen".