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264605141 is a prime number
BaseRepresentation
bin11111100010110…
…00110111010101
3200102220100000102
433301120313111
51020214331031
642131223445
76362051363
oct1761306725
9612810012
10264605141
111263a9839
1274747b85
1342a873b8
14271dc633
151836b7cb
hexfc58dd5

264605141 has 2 divisors, whose sum is σ = 264605142. Its totient is φ = 264605140.

The previous prime is 264605137. The next prime is 264605161. The reversal of 264605141 is 141506462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223054225 + 41550916 = 14935^2 + 6446^2 .

It is a cyclic number.

It is not a de Polignac number, because 264605141 - 22 = 264605137 is a prime.

It is equal to p14433383 and since 264605141 and 14433383 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264605111) 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, 132302570 + 132302571.

It is an arithmetic number, because the mean of its divisors is an integer number (132302571).

Almost surely, 2264605141 is an apocalyptic number.

It is an amenable number.

264605141 is a deficient number, since it is larger than the sum of its proper divisors (1).

264605141 is an equidigital number, since it uses as much as digits as its factorization.

264605141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 264605141 is about 16266.6880771717. The cubic root of 264605141 is about 641.9966461395.

The spelling of 264605141 in words is "two hundred sixty-four million, six hundred five thousand, one hundred forty-one".