Search a number
-
+
21582085833 = 3271131142981
BaseRepresentation
bin10100000110011001…
…000111111011001001
32001201002111120000100
4110012121013323021
5323200003221313
613525323000013
71362552463020
oct240631077311
961632446010
1021582085833
119175585580
124223969009
13205c3aa7b9
14108a4758b7
15864acc173
hex506647ec9

21582085833 has 24 divisors (see below), whose sum is σ = 38866441536. Its totient is φ = 11211472800.

The previous prime is 21582085831. The next prime is 21582085867. The reversal of 21582085833 is 33858028512.

It is not a de Polignac number, because 21582085833 - 21 = 21582085831 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21582085831) 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 23 ways as a sum of consecutive naturals, for example, 15570798 + ... + 15572183.

It is an arithmetic number, because the mean of its divisors is an integer number (1619435064).

Almost surely, 221582085833 is an apocalyptic number.

It is an amenable number.

21582085833 is a deficient number, since it is larger than the sum of its proper divisors (17284355703).

21582085833 is a wasteful number, since it uses less digits than its factorization.

21582085833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31143005 (or 31143002 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 21582085833 in words is "twenty-one billion, five hundred eighty-two million, eighty-five thousand, eight hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 31142981 93428943 218000867 280286829 342572791 654002601 1027718373 1962007803 2398009537 3083155119 7194028611 21582085833