Search a number
-
+
36311430641 is a prime number
BaseRepresentation
bin100001110100010101…
…000111010111110001
310110201121100210120112
4201310111013113301
51043331211240031
624403051551105
72423555032163
oct416425072761
9113647323515
1036311430641
1114443946312
12705475b495
133568b31745
141a86764933
15e27c7c62b
hex8745475f1

36311430641 has 2 divisors, whose sum is σ = 36311430642. Its totient is φ = 36311430640.

The previous prime is 36311430637. The next prime is 36311430709. The reversal of 36311430641 is 14603411363.

36311430641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35747843041 + 563587600 = 189071^2 + 23740^2 .

It is a cyclic number.

It is not a de Polignac number, because 36311430641 - 22 = 36311430637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36311430598 and 36311430607.

It is not a weakly prime, because it can be changed into another prime (36311430611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18155715320 + 18155715321.

It is an arithmetic number, because the mean of its divisors is an integer number (18155715321).

Almost surely, 236311430641 is an apocalyptic number.

It is an amenable number.

36311430641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36311430641 is an equidigital number, since it uses as much as digits as its factorization.

36311430641 is an evil number, because the sum of its binary digits is even.

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

The spelling of 36311430641 in words is "thirty-six billion, three hundred eleven million, four hundred thirty thousand, six hundred forty-one".