Search a number
-
+
36022961729 is a prime number
BaseRepresentation
bin100001100011001000…
…101100011001000001
310102222111120001121202
4201203020230121001
51042233334233404
624314305030545
72413453060016
oct414310543101
9112874501552
1036022961729
1114306028357
126b94025455
133521140391
141a5a31370d
15e0c79a21e
hex86322c641

36022961729 has 2 divisors, whose sum is σ = 36022961730. Its totient is φ = 36022961728.

The previous prime is 36022961677. The next prime is 36022961753. The reversal of 36022961729 is 92716922063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18872440129 + 17150521600 = 137377^2 + 130960^2 .

It is a cyclic number.

It is not a de Polignac number, because 36022961729 - 232 = 31727994433 is a prime.

It is not a weakly prime, because it can be changed into another prime (36022961759) 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, 18011480864 + 18011480865.

It is an arithmetic number, because the mean of its divisors is an integer number (18011480865).

Almost surely, 236022961729 is an apocalyptic number.

It is an amenable number.

36022961729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36022961729 is an equidigital number, since it uses as much as digits as its factorization.

36022961729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 36022961729 in words is "thirty-six billion, twenty-two million, nine hundred sixty-one thousand, seven hundred twenty-nine".