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36414104017 is a prime number
BaseRepresentation
bin100001111010011100…
…110010000111010001
310110222202120010222011
4201322130302013101
51044034002312032
624421200342521
72426242530364
oct417234620721
9113882503864
1036414104017
11144968a3345
127083014a41
1335841a0015
141a962500db
15e31cae247
hex87a7321d1

36414104017 has 2 divisors, whose sum is σ = 36414104018. Its totient is φ = 36414104016.

The previous prime is 36414103987. The next prime is 36414104021. The reversal of 36414104017 is 71040141463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28276440336 + 8137663681 = 168156^2 + 90209^2 .

It is a cyclic number.

It is not a de Polignac number, because 36414104017 - 27 = 36414103889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36414104017.

It is not a weakly prime, because it can be changed into another prime (36414104917) 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, 18207052008 + 18207052009.

It is an arithmetic number, because the mean of its divisors is an integer number (18207052009).

Almost surely, 236414104017 is an apocalyptic number.

It is an amenable number.

36414104017 is a deficient number, since it is larger than the sum of its proper divisors (1).

36414104017 is an equidigital number, since it uses as much as digits as its factorization.

36414104017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 36414104017 in words is "thirty-six billion, four hundred fourteen million, one hundred four thousand, seventeen".