Search a number
-
+
86129990729 is a prime number
BaseRepresentation
bin101000000110110111…
…1110101110001001001
322020022112202212102122
41100031233311301021
52402343234200404
6103322332341025
76136244561456
oct1201557656111
9266275685378
1086129990729
1133589152922
1214838914775
138178115073
144250d4482d
1523917323be
hex140dbf5c49

86129990729 has 2 divisors, whose sum is σ = 86129990730. Its totient is φ = 86129990728.

The previous prime is 86129990711. The next prime is 86129990741. The reversal of 86129990729 is 92709992168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53268640000 + 32861350729 = 230800^2 + 181277^2 .

It is a cyclic number.

It is not a de Polignac number, because 86129990729 - 220 = 86128942153 is a prime.

It is not a weakly prime, because it can be changed into another prime (86129990129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43064995364 + 43064995365.

It is an arithmetic number, because the mean of its divisors is an integer number (43064995365).

Almost surely, 286129990729 is an apocalyptic number.

It is an amenable number.

86129990729 is a deficient number, since it is larger than the sum of its proper divisors (1).

86129990729 is an equidigital number, since it uses as much as digits as its factorization.

86129990729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8817984, while the sum is 62.

The spelling of 86129990729 in words is "eighty-six billion, one hundred twenty-nine million, nine hundred ninety thousand, seven hundred twenty-nine".