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482081820822 = 2327171571433513
BaseRepresentation
bin1110000001111100101…
…00001101000010010110
31201002100002222220021200
413000332110031002112
530344300421231242
61005244302253330
746554302603040
oct7007624150226
91632302886250
10482081820822
111764a4690258
1279520287246
13365c9b675a4
1419493614a90
15c817a3d04c
hex703e50d096

482081820822 has 96 divisors (see below), whose sum is σ = 1271997110592. Its totient is φ = 128809654272.

The previous prime is 482081820817. The next prime is 482081820853. The reversal of 482081820822 is 228028180284.

It is a super-4 number, since 4×4820818208224 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380463 + ... + 1053050.

It is an arithmetic number, because the mean of its divisors is an integer number (13249969902).

Almost surely, 2482081820822 is an apocalyptic number.

482081820822 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

482081820822 is an abundant number, since it is smaller than the sum of its proper divisors (789915289770).

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

482081820822 is a wasteful number, since it uses less digits than its factorization.

482081820822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433702 (or 1433699 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 482081820822 in words is "four hundred eighty-two billion, eighty-one million, eight hundred twenty thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 157 238 306 314 357 471 714 942 1071 1099 1413 2142 2198 2669 2826 3297 5338 6594 8007 9891 16014 18683 19782 24021 37366 48042 56049 112098 168147 336294 1433513 2867026 4300539 8601078 10034591 12901617 20069182 24369721 25803234 30103773 48739442 60207546 73109163 90311319 146218326 170588047 180622638 219327489 225061541 341176094 438654978 450123082 511764141 675184623 1023528282 1350369246 1535292423 1575430787 2025553869 3070584846 3150861574 3826046197 4051107738 4726292361 7652092394 9452584722 11478138591 14178877083 22956277182 26782323379 28357754166 34434415773 53564646758 68868831546 80346970137 160693940274 241040910411 482081820822