Search a number
-
+
86177485969 is a prime number
BaseRepresentation
bin101000001000010010…
…1000001010010010001
322020102212010212122121
41100100211001102101
52402442414022334
6103331150334241
76140362354531
oct1202045012221
9266385125577
1086177485969
1133602a42793
12148507ba381
138184c04363
1442573894c1
1523959b4db4
hex1410941491

86177485969 has 2 divisors, whose sum is σ = 86177485970. Its totient is φ = 86177485968.

The previous prime is 86177485921. The next prime is 86177485981. The reversal of 86177485969 is 96958477168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85881233025 + 296252944 = 293055^2 + 17212^2 .

It is a cyclic number.

It is not a de Polignac number, because 86177485969 - 219 = 86176961681 is a prime.

It is a super-2 number, since 2×861774859692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86177485898 and 86177485907.

It is not a weakly prime, because it can be changed into another prime (86177485169) 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, 43088742984 + 43088742985.

It is an arithmetic number, because the mean of its divisors is an integer number (43088742985).

Almost surely, 286177485969 is an apocalyptic number.

It is an amenable number.

86177485969 is a deficient number, since it is larger than the sum of its proper divisors (1).

86177485969 is an equidigital number, since it uses as much as digits as its factorization.

86177485969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 182891520, while the sum is 70.

The spelling of 86177485969 in words is "eighty-six billion, one hundred seventy-seven million, four hundred eighty-five thousand, nine hundred sixty-nine".