Search a number
-
+
37124240057 is a prime number
BaseRepresentation
bin100010100100110001…
…101111001010111001
310112211020210210110222
4202210301233022321
51102012301140212
625015445145425
72452654556012
oct424461571271
9115736723428
1037124240057
1114820736033
1272409bb275
13366834ab68
141b226a6009
15e742d4c72
hex8a4c6f2b9

37124240057 has 2 divisors, whose sum is σ = 37124240058. Its totient is φ = 37124240056.

The previous prime is 37124240047. The next prime is 37124240137. The reversal of 37124240057 is 75004242173.

37124240057 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., 36131927056 + 992313001 = 190084^2 + 31501^2 .

It is a cyclic number.

It is not a de Polignac number, because 37124240057 - 214 = 37124223673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37124239999 and 37124240026.

It is not a weakly prime, because it can be changed into another prime (37124240047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18562120028 + 18562120029.

It is an arithmetic number, because the mean of its divisors is an integer number (18562120029).

Almost surely, 237124240057 is an apocalyptic number.

It is an amenable number.

37124240057 is a deficient number, since it is larger than the sum of its proper divisors (1).

37124240057 is an equidigital number, since it uses as much as digits as its factorization.

37124240057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 37124240057 in words is "thirty-seven billion, one hundred twenty-four million, two hundred forty thousand, fifty-seven".