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86168000777 is a prime number
BaseRepresentation
bin101000001000000000…
…0110101100100001001
322020102012021222102012
41100100000311210021
52402433002011102
6103330211145305
76140215631105
oct1202000654411
9266365258365
1086168000777
11335a8654391
12148495a5235
138182c62c11
144255dda905
152394c3e752
hex1410035909

86168000777 has 2 divisors, whose sum is σ = 86168000778. Its totient is φ = 86168000776.

The previous prime is 86168000767. The next prime is 86168000857. The reversal of 86168000777 is 77700086168.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85799783056 + 368217721 = 292916^2 + 19189^2 .

It is a cyclic number.

It is not a de Polignac number, because 86168000777 - 218 = 86167738633 is a prime.

It is not a weakly prime, because it can be changed into another prime (86168000767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43084000388 + 43084000389.

It is an arithmetic number, because the mean of its divisors is an integer number (43084000389).

Almost surely, 286168000777 is an apocalyptic number.

It is an amenable number.

86168000777 is a deficient number, since it is larger than the sum of its proper divisors (1).

86168000777 is an equidigital number, since it uses as much as digits as its factorization.

86168000777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 790272, while the sum is 50.

The spelling of 86168000777 in words is "eighty-six billion, one hundred sixty-eight million, seven hundred seventy-seven", and thus it is an aban number.