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20384642233 = 1921373491181
BaseRepresentation
bin10010111111000001…
…001111010010111001
31221121122022010012101
4102333001033102321
5313221432022413
613210425343401
71321102412554
oct227701172271
957548263171
1020384642233
11871066546a
123b4a937b61
131bcb29caa7
14db540d69b
157e48e8edd
hex4bf04f4b9

20384642233 has 24 divisors (see below), whose sum is σ = 21751518600. Its totient is φ = 19099687680.

The previous prime is 20384642231. The next prime is 20384642237. The reversal of 20384642233 is 33224648302.

It can be written as a sum of positive squares in 4 ways, for example, as 10593143929 + 9791498304 = 102923^2 + 98952^2 .

It is not a de Polignac number, because 20384642233 - 21 = 20384642231 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20384642192 and 20384642201.

It is not an unprimeable number, because it can be changed into a prime (20384642231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17259903 + ... + 17261083.

It is an arithmetic number, because the mean of its divisors is an integer number (906313275).

Almost surely, 220384642233 is an apocalyptic number.

It is an amenable number.

20384642233 is a deficient number, since it is larger than the sum of its proper divisors (1366876367).

20384642233 is a wasteful number, since it uses less digits than its factorization.

20384642233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 20384642233 in words is "twenty billion, three hundred eighty-four million, six hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 19 137 349 361 1181 2603 6631 22439 47813 49457 125989 161797 412169 426341 908447 3074143 7831211 17260493 56467153 58408717 148793009 1072875907 20384642233