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6777136097 is a prime number
BaseRepresentation
bin1100100111111001…
…01110001111100001
3122111022101011222122
412103330232033201
5102334421323342
63040253314025
7326641464164
oct62374561741
918438334878
106777136097
112968575726
121391795915
138400a4b04
14484105adb
15299e954d2
hex193f2e3e1

6777136097 has 2 divisors, whose sum is σ = 6777136098. Its totient is φ = 6777136096.

The previous prime is 6777136061. The next prime is 6777136099. The reversal of 6777136097 is 7906317776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6746322496 + 30813601 = 82136^2 + 5551^2 .

It is a cyclic number.

It is not a de Polignac number, because 6777136097 - 210 = 6777135073 is a prime.

Together with 6777136099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6777136099) 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, 3388568048 + 3388568049.

It is an arithmetic number, because the mean of its divisors is an integer number (3388568049).

Almost surely, 26777136097 is an apocalyptic number.

It is an amenable number.

6777136097 is a deficient number, since it is larger than the sum of its proper divisors (1).

6777136097 is an equidigital number, since it uses as much as digits as its factorization.

6777136097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2333772, while the sum is 53.

The square root of 6777136097 is about 82323.3630083222. The cubic root of 6777136097 is about 1892.4107323465.

The spelling of 6777136097 in words is "six billion, seven hundred seventy-seven million, one hundred thirty-six thousand, ninety-seven".