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41061681361 is a prime number
BaseRepresentation
bin100110001111011101…
…111000100011010001
310220222122210112112101
4212033131320203101
51133043242300421
630510302200401
72652355350511
oct461735704321
9126878715471
1041061681361
1116461280a58
127b5b583101
133b45007a9c
141db75b3841
151104cee191
hex98f7788d1

41061681361 has 2 divisors, whose sum is σ = 41061681362. Its totient is φ = 41061681360.

The previous prime is 41061681313. The next prime is 41061681371. The reversal of 41061681361 is 16318616014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37542937600 + 3518743761 = 193760^2 + 59319^2 .

It is a cyclic number.

It is not a de Polignac number, because 41061681361 - 219 = 41061157073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41061681361.

It is not a weakly prime, because it can be changed into another prime (41061681371) 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, 20530840680 + 20530840681.

It is an arithmetic number, because the mean of its divisors is an integer number (20530840681).

Almost surely, 241061681361 is an apocalyptic number.

It is an amenable number.

41061681361 is a deficient number, since it is larger than the sum of its proper divisors (1).

41061681361 is an equidigital number, since it uses as much as digits as its factorization.

41061681361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 41061681361 in words is "forty-one billion, sixty-one million, six hundred eighty-one thousand, three hundred sixty-one".