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77699699677 is a prime number
BaseRepresentation
bin100100001011101000…
…0110101001111011101
321102120000200201011201
41020113100311033131
52233112110342202
655410022115501
75420320356445
oct1102720651735
9242500621151
1077699699677
112aa52500436
121308557bb91
1374336b6072
143a9146d125
15204b58d387
hex12174353dd

77699699677 has 2 divisors, whose sum is σ = 77699699678. Its totient is φ = 77699699676.

The previous prime is 77699699573. The next prime is 77699699711.

77699699677 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., 76093774201 + 1605925476 = 275851^2 + 40074^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77699699677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77699699677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77699699177) 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, 38849849838 + 38849849839.

It is an arithmetic number, because the mean of its divisors is an integer number (38849849839).

Almost surely, 277699699677 is an apocalyptic number.

It is an amenable number.

77699699677 is a deficient number, since it is larger than the sum of its proper divisors (1).

77699699677 is an equidigital number, since it uses as much as digits as its factorization.

77699699677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402639576, while the sum is 82.

The spelling of 77699699677 in words is "seventy-seven billion, six hundred ninety-nine million, six hundred ninety-nine thousand, six hundred seventy-seven".