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6772180141 is a prime number
BaseRepresentation
bin1100100111010011…
…10100010010101101
3122110222001101200201
412103221310102231
5102332134231031
63035555153501
7326551403266
oct62351642255
918428041621
106772180141
1129657a01a1
12138bba5891
1383c05b0ac
144835b596d
15299816d61
hex193a744ad

6772180141 has 2 divisors, whose sum is σ = 6772180142. Its totient is φ = 6772180140.

The previous prime is 6772180139. The next prime is 6772180147. The reversal of 6772180141 is 1410812776.

6772180141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4599688041 + 2172492100 = 67821^2 + 46610^2 .

It is a cyclic number.

It is not a de Polignac number, because 6772180141 - 21 = 6772180139 is a prime.

Together with 6772180139, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 6772180141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6772180147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3386090070 + 3386090071.

It is an arithmetic number, because the mean of its divisors is an integer number (3386090071).

Almost surely, 26772180141 is an apocalyptic number.

It is an amenable number.

6772180141 is a deficient number, since it is larger than the sum of its proper divisors (1).

6772180141 is an equidigital number, since it uses as much as digits as its factorization.

6772180141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 6772180141 is about 82293.2569594861. The cubic root of 6772180141 is about 1891.9493284310.

The spelling of 6772180141 in words is "six billion, seven hundred seventy-two million, one hundred eighty thousand, one hundred forty-one".