Search a number
-
+
289549367281 is a prime number
BaseRepresentation
bin1000011011010100111…
…11001011011111110001
31000200101012012212202001
410031222133023133301
514220444114223111
6341003411454001
726630206004356
oct4155237133761
91020335185661
10289549367281
11101885084259
12481495b7301
13213c5982775
141002b1d862d
1577e9e8a1c1
hex436a7cb7f1

289549367281 has 2 divisors, whose sum is σ = 289549367282. Its totient is φ = 289549367280.

The previous prime is 289549367267. The next prime is 289549367293. The reversal of 289549367281 is 182763945982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289530086400 + 19280881 = 538080^2 + 4391^2 .

It is a cyclic number.

It is not a de Polignac number, because 289549367281 - 213 = 289549359089 is a prime.

It is a super-2 number, since 2×2895493672812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (289549367221) 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, 144774683640 + 144774683641.

It is an arithmetic number, because the mean of its divisors is an integer number (144774683641).

Almost surely, 2289549367281 is an apocalyptic number.

It is an amenable number.

289549367281 is a deficient number, since it is larger than the sum of its proper divisors (1).

289549367281 is an equidigital number, since it uses as much as digits as its factorization.

289549367281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52254720, while the sum is 64.

The spelling of 289549367281 in words is "two hundred eighty-nine billion, five hundred forty-nine million, three hundred sixty-seven thousand, two hundred eighty-one".