Search a number
-
+
86168000873 is a prime number
BaseRepresentation
bin101000001000000000…
…0110101100101101001
322020102012021222112202
41100100000311211221
52402433002011443
6103330211145545
76140215631303
oct1202000654551
9266365258482
1086168000873
11335a8654469
12148495a52b5
138182c62c86
144255dda973
152394c3e7b8
hex1410035969

86168000873 has 2 divisors, whose sum is σ = 86168000874. Its totient is φ = 86168000872.

The previous prime is 86168000857. The next prime is 86168000903. The reversal of 86168000873 is 37800086168.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66425783824 + 19742217049 = 257732^2 + 140507^2 .

It is a cyclic number.

It is not a de Polignac number, because 86168000873 - 24 = 86168000857 is a prime.

It is not a weakly prime, because it can be changed into another prime (86168000273) by changing a digit.

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 as a sum of consecutive naturals, namely, 43084000436 + 43084000437.

It is an arithmetic number, because the mean of its divisors is an integer number (43084000437).

Almost surely, 286168000873 is an apocalyptic number.

It is an amenable number.

86168000873 is a deficient number, since it is larger than the sum of its proper divisors (1).

86168000873 is an equidigital number, since it uses as much as digits as its factorization.

86168000873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 86168000873 in words is "eighty-six billion, one hundred sixty-eight million, eight hundred seventy-three", and thus it is an aban number.