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6442442446 = 211271374953
BaseRepresentation
bin1011111111111111…
…11101111011001110
3121121222120222121111
411333333331323032
5101143231124241
62543135522234
7315435600016
oct57777757316
917558528544
106442442446
112806655400
1212b968937a
137b894a82b
144518a0c46
1527a8d1c81
hex17fffdece

6442442446 has 24 divisors (see below), whose sum is σ = 10771678512. Its totient is φ = 2887130400.

The previous prime is 6442442429. The next prime is 6442442467.

It is a happy number.

6442442446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6442442399 and 6442442408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170295 + ... + 204658.

It is an arithmetic number, because the mean of its divisors is an integer number (448819938).

Almost surely, 26442442446 is an apocalyptic number.

6442442446 is a deficient number, since it is larger than the sum of its proper divisors (4329236066).

6442442446 is a wasteful number, since it uses less digits than its factorization.

6442442446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375048 (or 375037 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The square root of 6442442446 is about 80264.8269542768. The cubic root of 6442442446 is about 1860.7306689189.

The spelling of 6442442446 in words is "six billion, four hundred forty-two million, four hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 11 22 71 121 142 242 781 1562 8591 17182 374953 749906 4124483 8248966 26621663 45369313 53243326 90738626 292838293 585676586 3221221223 6442442446