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20567168083056 = 2437253164991401
BaseRepresentation
bin1001010110100101010101…
…01111110110010001110000
32200211012110022021101001010
410223102222233312101300
510143433030012124211
6111424232050310520
74221633412131300
oct453225257662160
980735408241033
1020567168083056
11660a53a21a481
12238207ab88440
13b62624c5554a
14511655d25600
15259eec6884a6
hex12b4aabf6470

20567168083056 has 120 divisors (see below), whose sum is σ = 62972598384144. Its totient is φ = 5765459481600.

The previous prime is 20567168082997. The next prime is 20567168083057. The reversal of 20567168083056 is 65038086176502.

It is a junction number, because it is equal to n+sod(n) for n = 20567168082987 and 20567168083005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20567168083057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82371045 + ... + 82620356.

Almost surely, 220567168083056 is an apocalyptic number.

It is an amenable number.

20567168083056 is an abundant number, since it is smaller than the sum of its proper divisors (42405430301088).

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

20567168083056 is a wasteful number, since it uses less digits than its factorization.

20567168083056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164991479 (or 164991466 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 20567168083056 in words is "twenty trillion, five hundred sixty-seven billion, one hundred sixty-eight million, eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 84 98 106 112 147 159 168 196 212 294 318 336 371 392 424 588 636 742 784 848 1113 1176 1272 1484 2226 2352 2544 2597 2968 4452 5194 5936 7791 8904 10388 15582 17808 20776 31164 41552 62328 124656 164991401 329982802 494974203 659965604 989948406 1154939807 1319931208 1979896812 2309879614 2639862416 3464819421 3959793624 4619759228 6929638842 7919587248 8084578649 8744544253 9239518456 13859277684 16169157298 17489088506 18479036912 24253735947 26233632759 27718555368 32338314596 34978177012 48507471894 52467265518 55437110736 61211809771 64676629192 69956354024 97014943788 104934531036 122423619542 129353258384 139912708048 183635429313 194029887576 209869062072 244847239084 367270858626 388059775152 419738124144 428482668397 489694478168 734541717252 856965336794 979388956336 1285448005191 1469083434504 1713930673588 2570896010382 2938166869008 3427861347176 5141792020764 6855722694352 10283584041528 20567168083056