Search a number
-
+
37890183137 is a prime number
BaseRepresentation
bin100011010010011011…
…100100111111100001
310121210122001201212012
4203102123210333201
51110044341330022
625223450042305
72510645146142
oct432233447741
9117718051765
1037890183137
1115084025444
127415419395
13375ac38311
141b962c7ac9
15ebb680de2
hex8d26e4fe1

37890183137 has 2 divisors, whose sum is σ = 37890183138. Its totient is φ = 37890183136.

The previous prime is 37890183103. The next prime is 37890183197. The reversal of 37890183137 is 73138109873.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19459134016 + 18431049121 = 139496^2 + 135761^2 .

It is an emirp because it is prime and its reverse (73138109873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37890183137 - 214 = 37890166753 is a prime.

It is not a weakly prime, because it can be changed into another prime (37890183197) 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, 18945091568 + 18945091569.

It is an arithmetic number, because the mean of its divisors is an integer number (18945091569).

Almost surely, 237890183137 is an apocalyptic number.

It is an amenable number.

37890183137 is a deficient number, since it is larger than the sum of its proper divisors (1).

37890183137 is an equidigital number, since it uses as much as digits as its factorization.

37890183137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 37890183137 in words is "thirty-seven billion, eight hundred ninety million, one hundred eighty-three thousand, one hundred thirty-seven".