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77981618977 is a prime number
BaseRepresentation
bin100100010100000010…
…0010001001100100001
321110021200011200202021
41020220010101030201
52234201243301402
655454012421441
75430312552553
oct1105004211441
9243250150667
1077981618977
1130087655599
1213143a77881
137479c23212
143abaa974d3
1520661c9d37
hex1228111321

77981618977 has 2 divisors, whose sum is σ = 77981618978. Its totient is φ = 77981618976.

The previous prime is 77981618839. The next prime is 77981619019.

77981618977 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55582306081 + 22399312896 = 235759^2 + 149664^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 77981618977 - 231 = 75834135329 is a prime.

It is a super-2 number, since 2×779816189772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77981618177) 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, 38990809488 + 38990809489.

It is an arithmetic number, because the mean of its divisors is an integer number (38990809489).

Almost surely, 277981618977 is an apocalyptic number.

It is an amenable number.

77981618977 is a deficient number, since it is larger than the sum of its proper divisors (1).

77981618977 is an equidigital number, since it uses as much as digits as its factorization.

77981618977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 74680704, while the sum is 70.

The spelling of 77981618977 in words is "seventy-seven billion, nine hundred eighty-one million, six hundred eighteen thousand, nine hundred seventy-seven".