Search a number
-
+
33156084129409 is a prime number
BaseRepresentation
bin1111000100111110000001…
…00111011101111010000001
311100101200122111210100100001
413202133000213131322001
513321212130014120114
6154303410023200001
76661306450015213
oct742370047357201
9140350574710301
1033156084129409
11a6234641283aa
123875a555a6001
1315667b3b62177
14828a97aa25b3
153c76ec302374
hex1e27c09dde81

33156084129409 has 2 divisors, whose sum is σ = 33156084129410. Its totient is φ = 33156084129408.

The previous prime is 33156084129353. The next prime is 33156084129431. The reversal of 33156084129409 is 90492148065133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30524210616384 + 2631873513025 = 5524872^2 + 1622305^2 .

It is a cyclic number.

It is not a de Polignac number, because 33156084129409 - 213 = 33156084121217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33156084129409.

It is not a weakly prime, because it can be changed into another prime (33156084429409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16578042064704 + 16578042064705.

It is an arithmetic number, because the mean of its divisors is an integer number (16578042064705).

Almost surely, 233156084129409 is an apocalyptic number.

It is an amenable number.

33156084129409 is a deficient number, since it is larger than the sum of its proper divisors (1).

33156084129409 is an equidigital number, since it uses as much as digits as its factorization.

33156084129409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 33156084129409 in words is "thirty-three trillion, one hundred fifty-six billion, eighty-four million, one hundred twenty-nine thousand, four hundred nine".