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41183146009 is a prime number
BaseRepresentation
bin100110010110101101…
…001111000000011001
310221022010100120201001
4212112231033000121
51133320341133014
630530321425001
72655361652035
oct462655170031
9127263316631
1041183146009
11165138a3165
127b9419b161
133b64225565
141dc97911c5
1511107e3974
hex996b4f019

41183146009 has 2 divisors, whose sum is σ = 41183146010. Its totient is φ = 41183146008.

The previous prime is 41183145977. The next prime is 41183146027. The reversal of 41183146009 is 90064138114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25170774409 + 16012371600 = 158653^2 + 126540^2 .

It is a cyclic number.

It is not a de Polignac number, because 41183146009 - 25 = 41183145977 is a prime.

It is a super-2 number, since 2×411831460092 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41183146049) 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, 20591573004 + 20591573005.

It is an arithmetic number, because the mean of its divisors is an integer number (20591573005).

Almost surely, 241183146009 is an apocalyptic number.

It is an amenable number.

41183146009 is a deficient number, since it is larger than the sum of its proper divisors (1).

41183146009 is an equidigital number, since it uses as much as digits as its factorization.

41183146009 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 41183146009 in words is "forty-one billion, one hundred eighty-three million, one hundred forty-six thousand, nine".