Search a number
-
+
37152086113 is a prime number
BaseRepresentation
bin100010100110011011…
…111101100001100001
310112220012012112002101
4202212123331201201
51102041413223423
625022322050401
72453443343602
oct424633754141
9115805175071
1037152086113
11148354251aa
12724a1a9a01
13367104a60c
141b26273da9
15e769857ad
hex8a66fd861

37152086113 has 2 divisors, whose sum is σ = 37152086114. Its totient is φ = 37152086112.

The previous prime is 37152086089. The next prime is 37152086117. The reversal of 37152086113 is 31168025173.

37152086113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25284816144 + 11867269969 = 159012^2 + 108937^2 .

It is a cyclic number.

It is not a de Polignac number, because 37152086113 - 221 = 37149988961 is a prime.

It is not a weakly prime, because it can be changed into another prime (37152086117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18576043056 + 18576043057.

It is an arithmetic number, because the mean of its divisors is an integer number (18576043057).

Almost surely, 237152086113 is an apocalyptic number.

It is an amenable number.

37152086113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37152086113 is an equidigital number, since it uses as much as digits as its factorization.

37152086113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 37152086113 in words is "thirty-seven billion, one hundred fifty-two million, eighty-six thousand, one hundred thirteen".