Search a number
-
+
183208824841 = 7247213012
BaseRepresentation
bin1010101010100000011…
…0001101000000001001
3122111220010201121102011
42222220012031000021
511000202424343331
6220055344535521
716144041213400
oct2525006150011
9574803647364
10183208824841
1170775672839
122b6103215a1
1314379682a83
148c20040637
154b7429b3b1
hex2aa818d009

183208824841 has 27 divisors (see below), whose sum is σ = 217918927047. Its totient is φ = 153576805200.

The previous prime is 183208824829. The next prime is 183208824847. The reversal of 183208824841 is 148428802381.

The square root of 183208824841 is 428029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 281534841 + 182927290000 = 16779^2 + 427700^2 .

It is not a de Polignac number, because 183208824841 - 221 = 183206727689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (183208824847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140820891 + ... + 140822191.

Almost surely, 2183208824841 is an apocalyptic number.

183208824841 is the 428029-th square number.

183208824841 is the 214015-th centered octagonal number.

It is an amenable number.

183208824841 is a deficient number, since it is larger than the sum of its proper divisors (34710102206).

183208824841 is an frugal number, since it uses more digits than its factorization.

183208824841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 49.

Multiplying 183208824841 by its sum of digits (49), we get a square (8977232417209 = 29962032).

183208824841 divided by its sum of digits (49) gives a square (3738955609 = 611472).

The spelling of 183208824841 in words is "one hundred eighty-three billion, two hundred eight million, eight hundred twenty-four thousand, eight hundred forty-one".

Divisors: 1 7 47 49 329 1301 2209 2303 9107 15463 61147 63749 108241 428029 1692601 2873909 2996203 11848207 20117363 79552247 82937449 140821541 556865729 3738955609 3898060103 26172689263 183208824841