Search a number
-
+
480999236636412 = 2232131454970642391
BaseRepresentation
bin110110101011101110101110…
…0101000110000111011111100
32100002002002002211010200021100
41231113131130220300323330
51001021142414034331122
64422555555424333100
7203213022324244134
oct15527353450607374
92302062084120240
10480999236636412
1112a2966a350332a
1245b44a5b174190
1317851058482470
1486ac6b70d5ac4
153a91d62291aac
hex1b5775ca30efc

480999236636412 has 72 divisors (see below), whose sum is σ = 1309476827786400. Its totient is φ = 147989590519680.

The previous prime is 480999236636393. The next prime is 480999236636497. The reversal of 480999236636412 is 214636632999084.

480999236636412 is a `hidden beast` number, since 4 + 8 + 0 + 99 + 92 + 3 + 6 + 6 + 36 + 412 = 666.

It is a super-3 number, since 3×4809992366364123 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28512264 + ... + 42130127.

It is an arithmetic number, because the mean of its divisors is an integer number (18187178163700).

Almost surely, 2480999236636412 is an apocalyptic number.

It is an amenable number.

480999236636412 is an abundant number, since it is smaller than the sum of its proper divisors (828477591149988).

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

480999236636412 is a wasteful number, since it uses less digits than its factorization.

480999236636412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70656963 (or 70656958 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 480999236636412 in words is "four hundred eighty trillion, nine hundred ninety-nine billion, two hundred thirty-six million, six hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 14549 29098 43647 58196 87294 130941 174588 189137 261882 378274 523764 567411 756548 1134822 1702233 2269644 3404466 6808932 70642391 141284782 211927173 282569564 423854346 635781519 847708692 918351083 1271563038 1836702166 2543126076 2755053249 3673404332 5510106498 8265159747 11020212996 16530319494 33060638988 1027776146659 2055552293318 3083328439977 4111104586636 6166656879954 9249985319931 12333313759908 13361089906567 18499970639862 26722179813134 36999941279724 40083269719701 53444359626268 80166539439402 120249809159103 160333078878804 240499618318206 480999236636412