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21984340784 = 24734005893
BaseRepresentation
bin10100011110010111…
…100110101100110000
32002202010102020001212
4110132113212230300
5330010442401114
614033252415252
71405535546000
oct243627465460
962663366055
1021984340784
11936165068a
124316617528
1320c482b593
1410c7a66000
1588a088b3e
hex51e5e6b30

21984340784 has 40 divisors (see below), whose sum is σ = 49673085600. Its totient is φ = 9421857984.

The previous prime is 21984340783. The next prime is 21984340831. The reversal of 21984340784 is 48704348912.

It is a happy number.

It is a super-2 number, since 2×219843407842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21984340783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1997459 + ... + 2008434.

It is an arithmetic number, because the mean of its divisors is an integer number (1241827140).

Almost surely, 221984340784 is an apocalyptic number.

It is an amenable number.

21984340784 is an abundant number, since it is smaller than the sum of its proper divisors (27688744816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21984340784 is an equidigital number, since it uses as much as digits as its factorization.

21984340784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005922 (or 4005902 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 21984340784 in words is "twenty-one billion, nine hundred eighty-four million, three hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 4005893 8011786 16023572 28041251 32047144 56082502 64094288 112165004 196288757 224330008 392577514 448660016 785155028 1374021299 1570310056 2748042598 3140620112 5496085196 10992170392 21984340784