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36410431361 is a prime number
BaseRepresentation
bin100001111010001110…
…110001011110000001
310110222111122120000212
4201322032301132001
51044032032300421
624420545523505
72426166363053
oct417216613601
9113874576025
1036410431361
1114494814a97
127081943595
1335834b5455
141a959758d3
15e317d5e5b
hex87a3b1781

36410431361 has 2 divisors, whose sum is σ = 36410431362. Its totient is φ = 36410431360.

The previous prime is 36410431297. The next prime is 36410431373. The reversal of 36410431361 is 16313401463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34278300736 + 2132130625 = 185144^2 + 46175^2 .

It is a cyclic number.

It is not a de Polignac number, because 36410431361 - 26 = 36410431297 is a prime.

It is not a weakly prime, because it can be changed into another prime (36410431261) 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, 18205215680 + 18205215681.

It is an arithmetic number, because the mean of its divisors is an integer number (18205215681).

Almost surely, 236410431361 is an apocalyptic number.

It is an amenable number.

36410431361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36410431361 is an equidigital number, since it uses as much as digits as its factorization.

36410431361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 36410431361 in words is "thirty-six billion, four hundred ten million, four hundred thirty-one thousand, three hundred sixty-one".