Search a number
-
+
36744341041 is a prime number
BaseRepresentation
bin100010001110001000…
…100010011000110001
310111211202221221000001
4202032020202120301
51100223022403131
624514034430001
72440362513502
oct421610423061
9114752857001
1036744341041
111464624a301
127155732301
133607726945
141ac8054ba9
15e50c92261
hex88e222631

36744341041 has 2 divisors, whose sum is σ = 36744341042. Its totient is φ = 36744341040.

The previous prime is 36744341027. The next prime is 36744341071. The reversal of 36744341041 is 14014344763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29689013025 + 7055328016 = 172305^2 + 83996^2 .

It is a cyclic number.

It is not a de Polignac number, because 36744341041 - 215 = 36744308273 is a prime.

It is not a weakly prime, because it can be changed into another prime (36744341071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18372170520 + 18372170521.

It is an arithmetic number, because the mean of its divisors is an integer number (18372170521).

Almost surely, 236744341041 is an apocalyptic number.

It is an amenable number.

36744341041 is a deficient number, since it is larger than the sum of its proper divisors (1).

36744341041 is an equidigital number, since it uses as much as digits as its factorization.

36744341041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 36744341041 in words is "thirty-six billion, seven hundred forty-four million, three hundred forty-one thousand, forty-one".