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289295383623928 = 23111928322160391
BaseRepresentation
bin100000111000111001101010…
…0100100110111100011111000
31101221022100221200200201211021
41001301303110210313203320
5300404303421201431203
62503140244200512224
7114635621202536533
oct10161632444674370
91357270850621737
10289295383623928
11841a6535160180
122854347277b674
13c55658c5aa5b6
145161d85281a1a
15236a3844385bd
hex1071cd49378f8

289295383623928 has 96 divisors (see below), whose sum is σ = 625093870377600. Its totient is φ = 124136700724800.

The previous prime is 289295383623919. The next prime is 289295383624007. The reversal of 289295383623928 is 829326383592982.

It is a super-2 number, since 2×2892953836239282 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132828613 + ... + 134989003.

It is an arithmetic number, because the mean of its divisors is an integer number (6511394483100).

Almost surely, 2289295383623928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289295383623928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312546935188800).

289295383623928 is an abundant number, since it is smaller than the sum of its proper divisors (335798486753672).

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

289295383623928 is a wasteful number, since it uses less digits than its factorization.

289295383623928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160993 (or 2160706 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 79.

The spelling of 289295383623928 in words is "two hundred eighty-nine trillion, two hundred ninety-five billion, three hundred eighty-three million, six hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 283 418 566 836 1132 1672 2264 3113 5377 6226 10754 12452 21508 24904 43016 59147 80089 118294 160178 236588 320356 473176 640712 880979 1521691 1761958 2160391 3043382 3523916 4320782 6086764 7047832 8641564 12173528 16738601 17283128 23764301 33477202 41047429 47528602 66954404 82094858 95057204 133908808 164189716 190114408 328379432 451521719 611390653 903043438 1222781306 1806086876 2445562612 3612173752 4891125224 6725297183 11616422407 13450594366 23232844814 26901188732 46465689628 53802377464 92931379256 127780646477 173023554799 255561292954 346047109598 511122585908 692094219196 1022245171816 1384188438392 1903259102789 3287447541181 3806518205578 6574895082362 7613036411156 13149790164724 15226072822312 26299580329448 36161922952991 72323845905982 144647691811964 289295383623928