Search a number
-
+
838881567361 is a prime number
BaseRepresentation
bin11000011010100010011…
…11001110001010000001
32222012022002200000100001
430031101033032022001
5102221012140123421
61441213223200001
7114415160446165
oct14152117161201
92865262600301
10838881567361
112a3849858842
121166b78a6001
136114c3c6376
142c860196ca5
1516c4ba01691
hexc3513ce281

838881567361 has 2 divisors, whose sum is σ = 838881567362. Its totient is φ = 838881567360.

The previous prime is 838881567331. The next prime is 838881567383. The reversal of 838881567361 is 163765188838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 533922490000 + 304959077361 = 730700^2 + 552231^2 .

It is a cyclic number.

It is not a de Polignac number, because 838881567361 - 213 = 838881559169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 838881567293 and 838881567302.

It is not a weakly prime, because it can be changed into another prime (838881567311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419440783680 + 419440783681.

It is an arithmetic number, because the mean of its divisors is an integer number (419440783681).

Almost surely, 2838881567361 is an apocalyptic number.

It is an amenable number.

838881567361 is a deficient number, since it is larger than the sum of its proper divisors (1).

838881567361 is an equidigital number, since it uses as much as digits as its factorization.

838881567361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46448640, while the sum is 64.

The spelling of 838881567361 in words is "eight hundred thirty-eight billion, eight hundred eighty-one million, five hundred sixty-seven thousand, three hundred sixty-one".