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977629348049 is a prime number
BaseRepresentation
bin11100011100111110100…
…00000000000011010001
310110110102200002120010012
432032133100000003101
5112004141103114144
62025041113444305
7130426365230264
oct16163720000321
93413380076105
10977629348049
11347679309a92
1213957a110695
137126170c593
1435463380cdb
151a66c81ee9e
hexe39f4000d1

977629348049 has 2 divisors, whose sum is σ = 977629348050. Its totient is φ = 977629348048.

The previous prime is 977629348039. The next prime is 977629348051. The reversal of 977629348049 is 940843926779.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966053094400 + 11576253649 = 982880^2 + 107593^2 .

It is a cyclic number.

It is not a de Polignac number, because 977629348049 - 224 = 977612570833 is a prime.

Together with 977629348051, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 977629348049.

It is not a weakly prime, because it can be changed into another prime (977629348039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488814674024 + 488814674025.

It is an arithmetic number, because the mean of its divisors is an integer number (488814674025).

Almost surely, 2977629348049 is an apocalyptic number.

It is an amenable number.

977629348049 is a deficient number, since it is larger than the sum of its proper divisors (1).

977629348049 is an equidigital number, since it uses as much as digits as its factorization.

977629348049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 164602368, while the sum is 68.

The spelling of 977629348049 in words is "nine hundred seventy-seven billion, six hundred twenty-nine million, three hundred forty-eight thousand, forty-nine".