Search a number
-
+
258478072805347 is a prime number
BaseRepresentation
bin111010110001010110011101…
…101101100011011111100011
31020220012021002022111112111121
4322301112131231203133203
5232334401043114232342
62313423104250153111
7105305265413615413
oct7261263555433743
91226167068445447
10258478072805347
11753a4a3165319a
1224ba6947722797
13b12c4ba9b3485
1447b85968a2643
151ed391b74b067
hexeb159db637e3

258478072805347 has 2 divisors, whose sum is σ = 258478072805348. Its totient is φ = 258478072805346.

The previous prime is 258478072805333. The next prime is 258478072805413. The reversal of 258478072805347 is 743508270874852.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 258478072805347 - 27 = 258478072805219 is a prime.

It is not a weakly prime, because it can be changed into another prime (258478072805317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129239036402673 + 129239036402674.

It is an arithmetic number, because the mean of its divisors is an integer number (129239036402674).

Almost surely, 2258478072805347 is an apocalyptic number.

258478072805347 is a deficient number, since it is larger than the sum of its proper divisors (1).

258478072805347 is an equidigital number, since it uses as much as digits as its factorization.

258478072805347 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 842956800, while the sum is 70.

The spelling of 258478072805347 in words is "two hundred fifty-eight trillion, four hundred seventy-eight billion, seventy-two million, eight hundred five thousand, three hundred forty-seven".