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36354041137 is a prime number
BaseRepresentation
bin100001110110110111…
…101010010100110001
310110211120112122012001
4201312313222110301
51043423113304022
624411213134001
72424613152061
oct416667522461
9113746478161
1036354041137
11144659aa1a7
127066a8a301
13357490055b
141a8c2973a1
15e2b897b27
hex876dea531

36354041137 has 2 divisors, whose sum is σ = 36354041138. Its totient is φ = 36354041136.

The previous prime is 36354041081. The next prime is 36354041177. The reversal of 36354041137 is 73114045363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27819237681 + 8534803456 = 166791^2 + 92384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36354041137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36354041096 and 36354041105.

It is not a weakly prime, because it can be changed into another prime (36354041177) 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, 18177020568 + 18177020569.

It is an arithmetic number, because the mean of its divisors is an integer number (18177020569).

Almost surely, 236354041137 is an apocalyptic number.

It is an amenable number.

36354041137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36354041137 is an equidigital number, since it uses as much as digits as its factorization.

36354041137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 36354041137 in words is "thirty-six billion, three hundred fifty-four million, forty-one thousand, one hundred thirty-seven".