Search a number
-
+
38675824346837 is a prime number
BaseRepresentation
bin10001100101100111010101…
…10001011000011011010101
312001221101001200211010112202
420302303222301120123111
520032131042013044322
6214131232312254245
711101143660516236
oct1062635261303325
9161841050733482
1038675824346837
1111361363626937
1244077733a1385
131877164992812
14979cc424d08d
154710a86aa292
hex232ceac586d5

38675824346837 has 2 divisors, whose sum is σ = 38675824346838. Its totient is φ = 38675824346836.

The previous prime is 38675824346791. The next prime is 38675824346917. The reversal of 38675824346837 is 73864342857683.

38675824346837 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., 23341324413796 + 15334499933041 = 4831286^2 + 3915929^2 .

It is a cyclic number.

It is not a de Polignac number, because 38675824346837 - 212 = 38675824342741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38675824346437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19337912173418 + 19337912173419.

It is an arithmetic number, because the mean of its divisors is an integer number (19337912173419).

Almost surely, 238675824346837 is an apocalyptic number.

It is an amenable number.

38675824346837 is a deficient number, since it is larger than the sum of its proper divisors (1).

38675824346837 is an equidigital number, since it uses as much as digits as its factorization.

38675824346837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3901685760, while the sum is 74.

The spelling of 38675824346837 in words is "thirty-eight trillion, six hundred seventy-five billion, eight hundred twenty-four million, three hundred forty-six thousand, eight hundred thirty-seven".