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442322503168 = 297139493529
BaseRepresentation
bin1100110111111000111…
…10011100011000000000
31120021201012211021220011
412123330132130120000
524221334030100133
6535111122154304
743646110146040
oct6337436343000
91507635737804
10442322503168
11160651581447
1271884ab2994
1332931914620
14175a0db9720
15b78c2496cd
hex66fc79c600

442322503168 has 80 divisors (see below), whose sum is σ = 1087730693280. Its totient is φ = 174984708096.

The previous prime is 442322503157. The next prime is 442322503211. The reversal of 442322503168 is 861305223244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442322503168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4700173 + ... + 4793356.

It is an arithmetic number, because the mean of its divisors is an integer number (13596633666).

Almost surely, 2442322503168 is an apocalyptic number.

It is an amenable number.

442322503168 is an abundant number, since it is smaller than the sum of its proper divisors (645408190112).

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

442322503168 is an equidigital number, since it uses as much as digits as its factorization.

442322503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493567 (or 9493551 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 442322503168 in words is "four hundred forty-two billion, three hundred twenty-two million, five hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 23296 46592 9493529 18987058 37974116 66454703 75948232 123415877 132909406 151896464 246831754 265818812 303792928 493663508 531637624 607585856 863911139 987327016 1063275248 1215171712 1727822278 1974654032 2126550496 2430343424 3455644556 3949308064 4253100992 4860686848 6911289112 7898616128 8506201984 13822578224 15797232256 17012403968 27645156448 31594464512 34024807936 55290312896 63188929024 110580625792 221161251584 442322503168