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20330673664 = 29719298559
BaseRepresentation
bin10010111011110011…
…010111011000000000
31221110212202020020111
4102323303113120000
5313114123024124
613201220521104
71316545606030
oct227363273000
957425666214
1020330673664
118693154044
123b34850194
131bc0055222
14dac1a18c0
157decd8494
hex4bbcd7600

20330673664 has 80 divisors (see below), whose sum is σ = 48868300800. Its totient is φ = 8254531584.

The previous prime is 20330673647. The next prime is 20330673703. The reversal of 20330673664 is 46637603302.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81184 + ... + 217375.

It is an arithmetic number, because the mean of its divisors is an integer number (610853760).

Almost surely, 220330673664 is an apocalyptic number.

It is an amenable number.

20330673664 is an abundant number, since it is smaller than the sum of its proper divisors (28537627136).

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

20330673664 is an equidigital number, since it uses as much as digits as its factorization.

20330673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298603 (or 298587 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 40.

The spelling of 20330673664 in words is "twenty billion, three hundred thirty million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2432 3584 4256 4864 8512 9728 17024 34048 68096 298559 597118 1194236 2089913 2388472 4179826 4776944 5672621 8359652 9553888 11345242 16719304 19107776 22690484 33438608 38215552 39708347 45380968 66877216 76431104 79416694 90761936 133754432 152862208 158833388 181523872 267508864 317666776 363047744 535017728 635333552 726095488 1070035456 1270667104 1452190976 2541334208 2904381952 5082668416 10165336832 20330673664