Search a number
-
+
268906837769 is a prime number
BaseRepresentation
bin1111101001110000011…
…0001011011100001001
3221201002120122201200222
43322130012023130021
513401210122302034
6323311210435425
725266522256523
oct3723406133411
9851076581628
10268906837769
11a4051999309
1244148432b75
131c48613b26b
14d02d858a13
156edcb0012e
hex3e9c18b709

268906837769 has 2 divisors, whose sum is σ = 268906837770. Its totient is φ = 268906837768.

The previous prime is 268906837747. The next prime is 268906837799. The reversal of 268906837769 is 967738609862.

268906837769 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., 240332316169 + 28574521600 = 490237^2 + 169040^2 .

It is a cyclic number.

It is not a de Polignac number, because 268906837769 - 228 = 268638402313 is a prime.

It is a super-2 number, since 2×2689068377692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (268906837729) 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, 134453418884 + 134453418885.

It is an arithmetic number, because the mean of its divisors is an integer number (134453418885).

Almost surely, 2268906837769 is an apocalyptic number.

It is an amenable number.

268906837769 is a deficient number, since it is larger than the sum of its proper divisors (1).

268906837769 is an equidigital number, since it uses as much as digits as its factorization.

268906837769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 329204736, while the sum is 71.

The spelling of 268906837769 in words is "two hundred sixty-eight billion, nine hundred six million, eight hundred thirty-seven thousand, seven hundred sixty-nine".