Search a number
-
+
38086917593 is a prime number
BaseRepresentation
bin100011011110001010…
…000011110111011001
310122022100020212210112
4203132022003313121
51111000222330333
625255154454105
72515554313034
oct433612036731
9118270225715
1038086917593
11151750879aa
12746b294335
13378c91b13a
141bb449a01b
15ecda92948
hex8de283dd9

38086917593 has 2 divisors, whose sum is σ = 38086917594. Its totient is φ = 38086917592.

The previous prime is 38086917563. The next prime is 38086917613. The reversal of 38086917593 is 39571968083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23027455504 + 15059462089 = 151748^2 + 122717^2 .

It is an emirp because it is prime and its reverse (39571968083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38086917593 - 224 = 38070140377 is a prime.

It is a super-2 number, since 2×380869175932 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (38086917503) 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, 19043458796 + 19043458797.

It is an arithmetic number, because the mean of its divisors is an integer number (19043458797).

Almost surely, 238086917593 is an apocalyptic number.

It is an amenable number.

38086917593 is a deficient number, since it is larger than the sum of its proper divisors (1).

38086917593 is an equidigital number, since it uses as much as digits as its factorization.

38086917593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 38086917593 in words is "thirty-eight billion, eighty-six million, nine hundred seventeen thousand, five hundred ninety-three".