Search a number
-
+
86712106361 is a prime number
BaseRepresentation
bin101000011000001110…
…0011011110101111001
322021211010010101221212
41100300130123311321
52410041244400421
6103500205212505
76156543512546
oct1206034336571
9267733111855
1086712106361
11338577a5a21
121497b861135
13823b8bb49a
1442a8393bcd
1523c78bae5b
hex143071bd79

86712106361 has 2 divisors, whose sum is σ = 86712106362. Its totient is φ = 86712106360.

The previous prime is 86712106337. The next prime is 86712106373. The reversal of 86712106361 is 16360121768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46924224400 + 39787881961 = 216620^2 + 199469^2 .

It is a cyclic number.

It is not a de Polignac number, because 86712106361 - 226 = 86644997497 is a prime.

It is a super-2 number, since 2×867121063612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (86712106861) 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, 43356053180 + 43356053181.

It is an arithmetic number, because the mean of its divisors is an integer number (43356053181).

Almost surely, 286712106361 is an apocalyptic number.

It is an amenable number.

86712106361 is a deficient number, since it is larger than the sum of its proper divisors (1).

86712106361 is an equidigital number, since it uses as much as digits as its factorization.

86712106361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 86712106361 in words is "eighty-six billion, seven hundred twelve million, one hundred six thousand, three hundred sixty-one".