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442279827570 = 23572796435923
BaseRepresentation
bin1100110111110011110…
…11101001100001110010
31120021121020112010222110
412123321323221201302
524221242113440240
6535102555350150
743645051335300
oct6337173514162
91507536463873
10442279827570
1116062a483659
1271872752356
1332925b21ca9
141759946b270
15b788619c80
hex66f9ee9872

442279827570 has 192 divisors, whose sum is σ = 1252559185920. Its totient is φ = 99640824192.

The previous prime is 442279827569. The next prime is 442279827589. The reversal of 442279827570 is 75728972244.

It is a super-2 number, since 2×4422798275702 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442279827570.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74668629 + ... + 74674551.

It is an arithmetic number, because the mean of its divisors is an integer number (6523745760).

Almost surely, 2442279827570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442279827570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626279592960).

442279827570 is an abundant number, since it is smaller than the sum of its proper divisors (810279358350).

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

442279827570 is a wasteful number, since it uses less digits than its factorization.

442279827570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 442279827570 in words is "four hundred forty-two billion, two hundred seventy-nine million, eight hundred twenty-seven thousand, five hundred seventy".