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809008930224 = 243311433959209
BaseRepresentation
bin10111100010111001011…
…00001001110110110000
32212100012020000210222000
423301130230021312300
5101223322241231344
61415353101014000
7112306665305505
oct13613454116660
92770166023860
10809008930224
1129210a4a5380
1211095b554300
135b39b535611
142b228a234ac
151609e184a69
hexbc5cb09db0

809008930224 has 160 divisors (see below), whose sum is σ = 2592173971200. Its totient is φ = 239452899840.

The previous prime is 809008930189. The next prime is 809008930237. The reversal of 809008930224 is 422039800908.

809008930224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 809008930224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775269 + ... + 2183940.

It is an arithmetic number, because the mean of its divisors is an integer number (16201087320).

Almost surely, 2809008930224 is an apocalyptic number.

It is an amenable number.

809008930224 is an abundant number, since it is smaller than the sum of its proper divisors (1783165040976).

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

809008930224 is a wasteful number, since it uses less digits than its factorization.

809008930224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959280 (or 3959268 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 809008930224 in words is "eight hundred nine billion, eight million, nine hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 72 86 88 99 108 129 132 144 172 176 198 216 258 264 297 344 387 396 432 473 516 528 594 688 774 792 946 1032 1161 1188 1419 1548 1584 1892 2064 2322 2376 2838 3096 3784 4257 4644 4752 5676 6192 7568 8514 9288 11352 12771 17028 18576 22704 25542 34056 51084 68112 102168 204336 3959209 7918418 11877627 15836836 23755254 31673672 35632881 43551299 47510508 63347344 71265762 87102598 95021016 106898643 130653897 142531524 170245987 174205196 190042032 213797286 261307794 285063048 340491974 348410392 391961691 427594572 510737961 522615588 570126096 680983948 696820784 783923382 855189144 1021475922 1045231176 1175885073 1361967896 1532213883 1567846764 1710378288 1872705857 2042951844 2090462352 2351770146 2723935792 3064427766 3135693528 3745411714 4085903688 4596641649 4703540292 5618117571 6128855532 6271387056 7490823428 8171807376 9193283298 9407080584 11236235142 12257711064 14981646856 16854352713 18386566596 18814161168 22472470284 24515422128 29963293712 33708705426 36773133192 44944940568 50563058139 67417410852 73546266384 89889881136 101126116278 134834821704 202252232556 269669643408 404504465112 809008930224