Search a number
-
+
2958334834769 is a prime number
BaseRepresentation
bin101011000011001010011…
…111110011100001010001
3101110210222102220120200022
4223003022133303201101
5341432132204203034
610143012410233225
7423506203124126
oct53031237634121
911423872816608
102958334834769
11a40693988426
123b9418425815
13185c7b7a9892
14a328151074d
1551e46989b2e
hex2b0ca7f3851

2958334834769 has 2 divisors, whose sum is σ = 2958334834770. Its totient is φ = 2958334834768.

The previous prime is 2958334834649. The next prime is 2958334834813. The reversal of 2958334834769 is 9674384338592.

2958334834769 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., 1520506015744 + 1437828819025 = 1233088^2 + 1199095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2958334834769 - 216 = 2958334769233 is a prime.

It is a super-2 number, since 2×29583348347692 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2958334234769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1479167417384 + 1479167417385.

It is an arithmetic number, because the mean of its divisors is an integer number (1479167417385).

Almost surely, 22958334834769 is an apocalyptic number.

It is an amenable number.

2958334834769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2958334834769 is an equidigital number, since it uses as much as digits as its factorization.

2958334834769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 940584960, while the sum is 71.

The spelling of 2958334834769 in words is "two trillion, nine hundred fifty-eight billion, three hundred thirty-four million, eight hundred thirty-four thousand, seven hundred sixty-nine".