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20289978225 = 33521122911933
BaseRepresentation
bin10010111001011000…
…000111111101110001
31221101001011200121000
4102321120013331301
5313023213300400
613153204352213
71315542653316
oct227130077561
957331150530
1020289978225
118672188a50
123b230a5669
131bb47a6c9a
14da6a0ad0d
157db44a600
hex4b9607f71

20289978225 has 96 divisors (see below), whose sum is σ = 40842921600. Its totient is φ = 9793785600.

The previous prime is 20289978169. The next prime is 20289978251. The reversal of 20289978225 is 52287998202.

It is not a de Polignac number, because 20289978225 - 231 = 18142494577 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1694359 + ... + 1706291.

It is an arithmetic number, because the mean of its divisors is an integer number (425447100).

Almost surely, 220289978225 is an apocalyptic number.

20289978225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20289978225 is an abundant number, since it is smaller than the sum of its proper divisors (20552943375).

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

20289978225 is a wasteful number, since it uses less digits than its factorization.

20289978225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20289978225 in words is "twenty billion, two hundred eighty-nine million, nine hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 229 275 297 495 675 687 825 1145 1485 2061 2475 2519 3435 5725 6183 7425 7557 10305 11933 12595 17175 22671 30915 35799 37785 51525 59665 62975 68013 107397 113355 131263 154575 178995 188925 298325 322191 340065 393789 536985 566775 656315 894975 1181367 1610955 1700325 1968945 2684925 2732657 3281575 3544101 5906835 8054775 8197971 9844725 13663285 17720505 24593913 29534175 30059227 40989855 68316425 73781739 88602525 90177681 122969565 150296135 204949275 270533043 368908695 450888405 614847825 751480675 811599129 1352665215 1844543475 2254442025 4057995645 6763326075 20289978225