Search a number
-
+
53829356369 is a prime number
BaseRepresentation
bin110010001000011110…
…101100101101010001
312010221110102122000112
4302020132230231101
51340220303400434
640421233531105
73613640660015
oct621036545521
9163843378015
1053829356369
11209132a5188
12a523413a95
1350cb215179
142869144545
151600b5ddce
hexc887acb51

53829356369 has 2 divisors, whose sum is σ = 53829356370. Its totient is φ = 53829356368.

The previous prime is 53829356299. The next prime is 53829356401. The reversal of 53829356369 is 96365392835.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33750466369 + 20078890000 = 183713^2 + 141700^2 .

It is a cyclic number.

It is not a de Polignac number, because 53829356369 - 224 = 53812579153 is a prime.

It is a super-2 number, since 2×538293563692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (53823356369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26914678184 + 26914678185.

It is an arithmetic number, because the mean of its divisors is an integer number (26914678185).

Almost surely, 253829356369 is an apocalyptic number.

It is an amenable number.

53829356369 is a deficient number, since it is larger than the sum of its proper divisors (1).

53829356369 is an equidigital number, since it uses as much as digits as its factorization.

53829356369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31492800, while the sum is 59.

The spelling of 53829356369 in words is "fifty-three billion, eight hundred twenty-nine million, three hundred fifty-six thousand, three hundred sixty-nine".