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61768000181 is a prime number
BaseRepresentation
bin111001100001101010…
…001110001010110101
312220102201101112001102
4321201222032022311
52003000102001211
644213102335445
74314445224116
oct714152161265
9186381345042
1061768000181
1124217475838
12bb79b8a585
135a94b24c44
142dbd5da20d
151917a89a3b
hexe61a8e2b5

61768000181 has 2 divisors, whose sum is σ = 61768000182. Its totient is φ = 61768000180.

The previous prime is 61768000171. The next prime is 61768000183. The reversal of 61768000181 is 18100086716.

61768000181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60056854225 + 1711145956 = 245065^2 + 41366^2 .

It is a cyclic number.

It is not a de Polignac number, because 61768000181 - 210 = 61767999157 is a prime.

It is a super-2 number, since 2×617680001812 (a number of 22 digits) contains 22 as substring.

Together with 61768000183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61768000183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30884000090 + 30884000091.

It is an arithmetic number, because the mean of its divisors is an integer number (30884000091).

Almost surely, 261768000181 is an apocalyptic number.

It is an amenable number.

61768000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

61768000181 is an equidigital number, since it uses as much as digits as its factorization.

61768000181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 38.

Adding to 61768000181 its reverse (18100086716), we get a palindrome (79868086897).

The spelling of 61768000181 in words is "sixty-one billion, seven hundred sixty-eight million, one hundred eighty-one", and thus it is an aban number.