Search a number
-
+
264773141 is a prime number
BaseRepresentation
bin11111100100000…
…01111000010101
3200110012212110122
433302001320111
51020240220031
642135001325
76363351233
oct1762017025
9613185418
10264773141
11126503a86
1274809245
1342b159c9
1427243953
15183a147b
hexfc81e15

264773141 has 2 divisors, whose sum is σ = 264773142. Its totient is φ = 264773140.

The previous prime is 264773111. The next prime is 264773143. The reversal of 264773141 is 141377462.

264773141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217562500 + 47210641 = 14750^2 + 6871^2 .

It is a cyclic number.

It is not a de Polignac number, because 264773141 - 214 = 264756757 is a prime.

Together with 264773143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264773143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132386570 + 132386571.

It is an arithmetic number, because the mean of its divisors is an integer number (132386571).

Almost surely, 2264773141 is an apocalyptic number.

It is an amenable number.

264773141 is a deficient number, since it is larger than the sum of its proper divisors (1).

264773141 is an equidigital number, since it uses as much as digits as its factorization.

264773141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28224, while the sum is 35.

The square root of 264773141 is about 16271.8511854060. The cubic root of 264773141 is about 642.1324870609.

The spelling of 264773141 in words is "two hundred sixty-four million, seven hundred seventy-three thousand, one hundred forty-one".