Search a number
-
+
37839271681 is a prime number
BaseRepresentation
bin100011001111011001…
…010111011100000001
310121200002021011110201
4203033121113130001
51104443323143211
625214430525201
72506456334221
oct431731273401
9117602234421
1037839271681
1115058311962
127400366801
1337505210b3
141b8d634081
15eb6e760c1
hex8cf657701

37839271681 has 2 divisors, whose sum is σ = 37839271682. Its totient is φ = 37839271680.

The previous prime is 37839271663. The next prime is 37839271697. The reversal of 37839271681 is 18617293873.

It is a happy number.

37839271681 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., 27222030081 + 10617241600 = 164991^2 + 103040^2 .

It is a cyclic number.

It is not a de Polignac number, because 37839271681 - 225 = 37805717249 is a prime.

It is a super-2 number, since 2×378392716812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37839271081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18919635840 + 18919635841.

It is an arithmetic number, because the mean of its divisors is an integer number (18919635841).

Almost surely, 237839271681 is an apocalyptic number.

It is an amenable number.

37839271681 is a deficient number, since it is larger than the sum of its proper divisors (1).

37839271681 is an equidigital number, since it uses as much as digits as its factorization.

37839271681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3048192, while the sum is 55.

The spelling of 37839271681 in words is "thirty-seven billion, eight hundred thirty-nine million, two hundred seventy-one thousand, six hundred eighty-one".