Search a number
-
+
38675772671729 is a prime number
BaseRepresentation
bin10001100101100111001111…
…01100010000011011110001
312001221100221002120202121212
420302303213230100123301
520032130440300443404
6214131223224525505
711101142462344034
oct1062634754203361
9161840832522555
1038675772671729
1111361337441636
12440775a020895
13187715706bb2b
14979cbb43b01b
154710a3d9e06e
hex232ce7b106f1

38675772671729 has 2 divisors, whose sum is σ = 38675772671730. Its totient is φ = 38675772671728.

The previous prime is 38675772671717. The next prime is 38675772671791. The reversal of 38675772671729 is 92717627757683.

38675772671729 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., 26701764390625 + 11974008281104 = 5167375^2 + 3460348^2 .

It is a cyclic number.

It is not a de Polignac number, because 38675772671729 - 240 = 37576261043953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38675772671729.

It is not a weakly prime, because it can be changed into another prime (38675772671429) 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, 19337886335864 + 19337886335865.

It is an arithmetic number, because the mean of its divisors is an integer number (19337886335865).

Almost surely, 238675772671729 is an apocalyptic number.

It is an amenable number.

38675772671729 is a deficient number, since it is larger than the sum of its proper divisors (1).

38675772671729 is an equidigital number, since it uses as much as digits as its factorization.

38675772671729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2613824640, while the sum is 77.

The spelling of 38675772671729 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-two million, six hundred seventy-one thousand, seven hundred twenty-nine".