Search a number
-
+
77761086671713 is a prime number
BaseRepresentation
bin10001101011100100101001…
…111100101100101101100001
3101012022212221211102121000111
4101223210221330230231201
540143014201141443323
6433214541113451321
722244024134616464
oct2153445174545541
9335285854377014
1077761086671713
1122860323220715
12887a752710b41
133450aba3c1653
14152b929cc52db
158ecb27101c0d
hex46b929f2cb61

77761086671713 has 2 divisors, whose sum is σ = 77761086671714. Its totient is φ = 77761086671712.

The previous prime is 77761086671683. The next prime is 77761086671717. The reversal of 77761086671713 is 31717668016777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76439559392784 + 1321527278929 = 8742972^2 + 1149577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77761086671713 is a prime.

It is a super-2 number, since 2×777610866717132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77761086671717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38880543335856 + 38880543335857.

It is an arithmetic number, because the mean of its divisors is an integer number (38880543335857).

Almost surely, 277761086671713 is an apocalyptic number.

It is an amenable number.

77761086671713 is a deficient number, since it is larger than the sum of its proper divisors (1).

77761086671713 is an equidigital number, since it uses as much as digits as its factorization.

77761086671713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87127488, while the sum is 67.

The spelling of 77761086671713 in words is "seventy-seven trillion, seven hundred sixty-one billion, eighty-six million, six hundred seventy-one thousand, seven hundred thirteen".