Search a number
-
+
21829825755 = 335661244633
BaseRepresentation
bin10100010101001010…
…001011010011011011
32002100100200001022000
4110111022023103123
5324201413411010
614010052532043
71401651312603
oct242512132333
962310601260
1021829825755
119292405211
124292921023
13209b80b57a
1410b1323c03
1587b7167c0
hex51528b4db

21829825755 has 32 divisors (see below), whose sum is σ = 38867449920. Its totient is φ = 11624912640.

The previous prime is 21829825753. The next prime is 21829825769. The reversal of 21829825755 is 55752892812.

It is not a de Polignac number, because 21829825755 - 21 = 21829825753 is a prime.

It is a super-2 number, since 2×218298257552 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21829825753) 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 in 31 ways as a sum of consecutive naturals, for example, 33082 + ... + 211551.

It is an arithmetic number, because the mean of its divisors is an integer number (1214607810).

Almost surely, 221829825755 is an apocalyptic number.

21829825755 is a deficient number, since it is larger than the sum of its proper divisors (17037624165).

21829825755 is a wasteful number, since it uses less digits than its factorization.

21829825755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245308 (or 245302 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 21829825755 in words is "twenty-one billion, eight hundred twenty-nine million, eight hundred twenty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 661 1983 3305 5949 9915 17847 29745 89235 244633 733899 1223165 2201697 3669495 6605091 11008485 33025455 161702413 485107239 808512065 1455321717 2425536195 4365965151 7276608585 21829825755