Search a number
-
+
810330033018 = 2311235383121349
BaseRepresentation
bin10111100101010110110…
…11110000101101111010
32212110121021220210022010
423302223123300231322
5101234023442024033
61420132132510350
7112354506430242
oct13625333605572
92773537823263
10810330033018
112927281a6470
12111069a7b3b6
135b54c14b94c
142b312278b22
151612a142863
hexbcab6f0b7a

810330033018 has 128 divisors (see below), whose sum is σ = 1902333081600. Its totient is φ = 227668263680.

The previous prime is 810330032989. The next prime is 810330033031.

810330033018 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6617008 + ... + 6738356.

It is an arithmetic number, because the mean of its divisors is an integer number (14861977200).

Almost surely, 2810330033018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810330033018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951166540800).

810330033018 is an abundant number, since it is smaller than the sum of its proper divisors (1092003048582).

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

810330033018 is a wasteful number, since it uses less digits than its factorization.

810330033018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121524.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 8103300 and 33018, that added together give a palindrome (8136318).

The spelling of 810330033018 in words is "eight hundred ten billion, three hundred thirty million, thirty-three thousand, eighteen".

Divisors: 1 2 3 6 11 22 23 33 46 53 66 69 83 106 138 159 166 249 253 318 498 506 583 759 913 1166 1219 1518 1749 1826 1909 2438 2739 3498 3657 3818 4399 5478 5727 7314 8798 11454 13197 13409 20999 26394 26818 40227 41998 48389 62997 80454 96778 101177 121349 125994 145167 202354 242698 290334 303531 364047 607062 728094 1112947 1334839 2225894 2669678 2791027 3338841 4004517 5582054 6431497 6677682 8009034 8373081 10071967 12862994 16746162 19294491 20143934 30215901 30701297 38588982 60431802 61402594 70746467 92103891 110791637 141492934 147924431 184207782 212239401 221583274 231655241 295848862 332374911 424478802 443773293 463310482 533814251 664749822 694965723 887546586 1067628502 1389931446 1601442753 1627168741 2548207651 3202885506 3254337482 4881506223 5096415302 5871956761 7644622953 9763012446 11743913522 12277727773 15289245906 17615870283 24555455546 35231740566 36833183319 73666366638 135055005503 270110011006 405165016509 810330033018