Search a number
-
+
258838416799 is a prime number
BaseRepresentation
bin1111000100001111111…
…0001100110110011111
3220202002220010221122121
43301003332030312133
513220100113314144
6314524141323411
724462154145524
oct3610376146637
9822086127577
10258838416799
119a8555a1646
12421b8566567
131b540215c11
14c7565a514b
156aedc29384
hex3c43f8cd9f

258838416799 has 2 divisors, whose sum is σ = 258838416800. Its totient is φ = 258838416798.

The previous prime is 258838416719. The next prime is 258838416803. The reversal of 258838416799 is 997614838852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 258838416799 - 213 = 258838408607 is a prime.

It is a super-2 number, since 2×2588384167992 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258838416719) 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, 129419208399 + 129419208400.

It is an arithmetic number, because the mean of its divisors is an integer number (129419208400).

Almost surely, 2258838416799 is an apocalyptic number.

258838416799 is a deficient number, since it is larger than the sum of its proper divisors (1).

258838416799 is an equidigital number, since it uses as much as digits as its factorization.

258838416799 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209018880, while the sum is 70.

The spelling of 258838416799 in words is "two hundred fifty-eight billion, eight hundred thirty-eight million, four hundred sixteen thousand, seven hundred ninety-nine".