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10264264337 is a prime number
BaseRepresentation
bin10011000111100110…
…00011111010010001
3222111100000122122102
421203303003322101
5132010122424322
64414302450145
7512233543625
oct114363037221
928440018572
1010264264337
114397a00798
121ba5593955
13c776856c2
146d52b3185
154011ad792
hex263cc3e91

10264264337 has 2 divisors, whose sum is σ = 10264264338. Its totient is φ = 10264264336.

The previous prime is 10264264327. The next prime is 10264264391. The reversal of 10264264337 is 73346246201.

10264264337 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., 8885701696 + 1378562641 = 94264^2 + 37129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10264264337 - 26 = 10264264273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10264264337.

It is not a weakly prime, because it can be changed into another prime (10264264327) 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, 5132132168 + 5132132169.

It is an arithmetic number, because the mean of its divisors is an integer number (5132132169).

Almost surely, 210264264337 is an apocalyptic number.

It is an amenable number.

10264264337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264264337 is an equidigital number, since it uses as much as digits as its factorization.

10264264337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 10264264337 in words is "ten billion, two hundred sixty-four million, two hundred sixty-four thousand, three hundred thirty-seven".