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3827814161137 is a prime number
BaseRepresentation
bin110111101100111011100…
…000001101101011110001
3111112221020221122210120221
4313230323200031223301
51000203330411124022
612050250141533041
7543356542345651
oct67547340155361
914487227583527
103827814161137
1112464043373aa
12519a33274181
13219c6605a895
14d33a5274361
15698847ddcc7
hex37b3b80daf1

3827814161137 has 2 divisors, whose sum is σ = 3827814161138. Its totient is φ = 3827814161136.

The previous prime is 3827814161107. The next prime is 3827814161201. The reversal of 3827814161137 is 7311614187283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3702580275681 + 125233885456 = 1924209^2 + 353884^2 .

It is a cyclic number.

It is not a de Polignac number, because 3827814161137 - 231 = 3825666677489 is a prime.

It is a super-2 number, since 2×38278141611372 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3827814161107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1913907080568 + 1913907080569.

It is an arithmetic number, because the mean of its divisors is an integer number (1913907080569).

Almost surely, 23827814161137 is an apocalyptic number.

It is an amenable number.

3827814161137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827814161137 is an equidigital number, since it uses as much as digits as its factorization.

3827814161137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1354752, while the sum is 52.

The spelling of 3827814161137 in words is "three trillion, eight hundred twenty-seven billion, eight hundred fourteen million, one hundred sixty-one thousand, one hundred thirty-seven".