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264331603236049 is a prime number
BaseRepresentation
bin111100000110100001111111…
…010100000101010011010001
31021122220212001220201000222221
4330012201333110011103101
5234121302110412023144
62334104132342101041
7106451220354416326
oct7406417724052321
91248825056630887
10264331603236049
1177251448a09318
122579129b11a781
13b46549502646b
14493ba09b40b4d
152085d11a22d84
hexf0687f5054d1

264331603236049 has 2 divisors, whose sum is σ = 264331603236050. Its totient is φ = 264331603236048.

The previous prime is 264331603236047. The next prime is 264331603236053. The reversal of 264331603236049 is 940632306133462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264307346731024 + 24256505025 = 16257532^2 + 155745^2 .

It is a cyclic number.

It is not a de Polignac number, because 264331603236049 - 21 = 264331603236047 is a prime.

Together with 264331603236047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 264331603235987 and 264331603236005.

It is not a weakly prime, because it can be changed into another prime (264331603236047) 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, 132165801618024 + 132165801618025.

It is an arithmetic number, because the mean of its divisors is an integer number (132165801618025).

Almost surely, 2264331603236049 is an apocalyptic number.

It is an amenable number.

264331603236049 is a deficient number, since it is larger than the sum of its proper divisors (1).

264331603236049 is an equidigital number, since it uses as much as digits as its factorization.

264331603236049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10077696, while the sum is 52.

The spelling of 264331603236049 in words is "two hundred sixty-four trillion, three hundred thirty-one billion, six hundred three million, two hundred thirty-six thousand, forty-nine".