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256299296081 is a prime number
BaseRepresentation
bin1110111010110010100…
…0001110010101010001
3220111112221100020211112
43232230220032111101
513144400104433311
6313424155223105
724342223033313
oct3565450162521
9814487306745
10256299296081
11997722a8674
124180a147a95
131b22716a21a
14c59528d7b3
156a00d7228b
hex3baca0e551

256299296081 has 2 divisors, whose sum is σ = 256299296082. Its totient is φ = 256299296080.

The previous prime is 256299296041. The next prime is 256299296089. The reversal of 256299296081 is 180692992652.

256299296081 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., 232762827025 + 23536469056 = 482455^2 + 153416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256299296081 is a prime.

It is a super-2 number, since 2×2562992960812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256299296081.

It is not a weakly prime, because it can be changed into another prime (256299296089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128149648040 + 128149648041.

It is an arithmetic number, because the mean of its divisors is an integer number (128149648041).

Almost surely, 2256299296081 is an apocalyptic number.

It is an amenable number.

256299296081 is a deficient number, since it is larger than the sum of its proper divisors (1).

256299296081 is an equidigital number, since it uses as much as digits as its factorization.

256299296081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8398080, while the sum is 59.

The spelling of 256299296081 in words is "two hundred fifty-six billion, two hundred ninety-nine million, two hundred ninety-six thousand, eighty-one".