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442380566628 = 22327111312276073
BaseRepresentation
bin1100110111111111110…
…11111100000001100100
31120021212021002012222200
412123333323330001210
524221443411113003
6535120554454500
743650413526210
oct6337773740144
91507767065880
10442380566628
1116068132a380
12718a0434430
1332940963cc0
14175a89b1940
15b7923b86a3
hex66ffefc064

442380566628 has 144 divisors (see below), whose sum is σ = 1501412954496. Its totient is φ = 106065262080.

The previous prime is 442380566609. The next prime is 442380566653. The reversal of 442380566628 is 826665083244.

It is a happy number.

442380566628 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4423805666282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6102001 + ... + 6174072.

Almost surely, 2442380566628 is an apocalyptic number.

It is an amenable number.

442380566628 is an abundant number, since it is smaller than the sum of its proper divisors (1059032387868).

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

442380566628 is a wasteful number, since it uses less digits than its factorization.

442380566628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276114 (or 12276109 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 442380566628 in words is "four hundred forty-two billion, three hundred eighty million, five hundred sixty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 12276073 24552146 36828219 49104292 73656438 85932511 110484657 135036803 147312876 159588949 171865022 220969314 257797533 270073606 319177898 343730044 405110409 441938628 478766847 515595066 540147212 638355796 773392599 810220818 945257621 957533694 1031190132 1117122643 1215331227 1436300541 1546785198 1620441636 1755478439 1890515242 1915067388 2234245286 2430662454 2835772863 2872601082 3093570396 3351367929 3510956878 3781030484 4468490572 4861324908 5266435317 5671545726 5745202164 6702735858 7021913756 8507318589 10054103787 10532870634 11343091452 12288349073 13405471716 15799305951 17014637178 20108207574 21065741268 24576698146 31598611902 34029274356 36865047219 40216415148 49153396292 63197223804 73730094438 110595141657 147460188876 221190283314 442380566628