Search a number
-
+
77986137047041 is a prime number
BaseRepresentation
bin10001101110110110001111…
…111111110000000000000001
3101020010101211222102012021201
4101232312033333300000001
540210211102041001131
6433510200424221201
722266212114344636
oct2156661777600001
9336111758365251
1077986137047041
112293780a2a5643
1288b629b60a801
1334690a4504202
141538798d0418d
159038e9899761
hex46ed8fff0001

77986137047041 has 2 divisors, whose sum is σ = 77986137047042. Its totient is φ = 77986137047040.

The previous prime is 77986137046949. The next prime is 77986137047051. The reversal of 77986137047041 is 14074073168977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70919556890625 + 7066580156416 = 8421375^2 + 2658304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77986137047041 is a prime.

It is not a weakly prime, because it can be changed into another prime (77986137047051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38993068523520 + 38993068523521.

It is an arithmetic number, because the mean of its divisors is an integer number (38993068523521).

Almost surely, 277986137047041 is an apocalyptic number.

It is an amenable number.

77986137047041 is a deficient number, since it is larger than the sum of its proper divisors (1).

77986137047041 is an equidigital number, since it uses as much as digits as its factorization.

77986137047041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49787136, while the sum is 64.

The spelling of 77986137047041 in words is "seventy-seven trillion, nine hundred eighty-six billion, one hundred thirty-seven million, forty-seven thousand, forty-one".