Search a number
-
+
256895033567 is a prime number
BaseRepresentation
bin1110111101000000100…
…0110010000011011111
3220120002110022212000212
43233100020302003133
513202110112033232
6314003240043035
724363045520304
oct3572010620337
9816073285025
10256895033567
1199a48604aa7
124195576347b
131b2c0702903
14c6104470ab
156a382ebeb2
hex3bd02320df

256895033567 has 2 divisors, whose sum is σ = 256895033568. Its totient is φ = 256895033566.

The previous prime is 256895033561. The next prime is 256895033569. The reversal of 256895033567 is 765330598652.

256895033567 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256895033567 is a prime.

Together with 256895033569, 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 (256895033561) 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, 128447516783 + 128447516784.

It is an arithmetic number, because the mean of its divisors is an integer number (128447516784).

Almost surely, 2256895033567 is an apocalyptic number.

256895033567 is a deficient number, since it is larger than the sum of its proper divisors (1).

256895033567 is an equidigital number, since it uses as much as digits as its factorization.

256895033567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824000, while the sum is 59.

The spelling of 256895033567 in words is "two hundred fifty-six billion, eight hundred ninety-five million, thirty-three thousand, five hundred sixty-seven".