Search a number
-
+
808082434992 = 243716737673823
BaseRepresentation
bin10111100001001010111…
…01110110101110110000
32212020210122122222102210
423300211131312232300
5101214423100404432
61415121123012120
7112245015236310
oct13604535665660
92766718588383
10808082434992
11291784516838
1211074120a040
135b2815c32a1
142b17b96b440
1516047b728cc
hexbc25776bb0

808082434992 has 160 divisors (see below), whose sum is σ = 2401318305792. Its totient is φ = 229377238272.

The previous prime is 808082434937. The next prime is 808082435009. The reversal of 808082434992 is 299434280808.

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, 211371993 + ... + 211375815.

Almost surely, 2808082434992 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 808082434992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200659152896).

808082434992 is an abundant number, since it is smaller than the sum of its proper divisors (1593235870800).

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

808082434992 is a wasteful number, since it uses less digits than its factorization.

808082434992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 808082434992 in words is "eight hundred eight billion, eighty-two million, four hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2338 2672 3507 3767 3823 4008 4676 7014 7534 7646 8016 9352 11301 11469 14028 15068 15292 18704 22602 22938 26369 26761 28056 30136 30584 45204 45876 52738 53522 56112 60272 61168 79107 80283 90408 91752 105476 107044 158214 160566 180816 183504 210952 214088 316428 321132 421904 428176 629089 632856 638441 642264 1258178 1265712 1276882 1284528 1887267 1915323 2516356 2553764 3774534 3830646 4403623 4469087 5032712 5107528 7549068 7661292 8807246 8938174 10065424 10215056 13210869 13407261 14401241 15098136 15322584 17614492 17876348 26421738 26814522 28802482 30196272 30645168 35228984 35752696 43203723 52843476 53629044 57604964 70457968 71505392 86407446 100808687 105686952 107258088 115209928 172814892 201617374 211373904 214516176 230419856 302426061 345629784 403234748 604852122 691259568 806469496 1209704244 1612938992 2405007247 2419408488 4810014494 4838816976 7215021741 9620028988 14430043482 16835050729 19240057976 28860086964 33670101458 38480115952 50505152187 57720173928 67340202916 101010304374 115440347856 134680405832 202020608748 269360811664 404041217496 808082434992