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442006062064 = 247171511537391
BaseRepresentation
bin1100110111010011001…
…11010100001111110000
31120020220011101102022021
412123221213110033300
524220212022441224
6535015455521224
743635215352160
oct6335147241760
91506804342267
10442006062064
111604a9998576
12717b6b29214
13328b11ab278
1417570d665a0
15b76e58e1e4
hex66e99d43f0

442006062064 has 80 divisors (see below), whose sum is σ = 1043163518976. Its totient is φ = 177107328000.

The previous prime is 442006062061. The next prime is 442006062103. The reversal of 442006062064 is 460260600244.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442006062061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481192 + ... + 1056199.

Almost surely, 2442006062064 is an apocalyptic number.

It is an amenable number.

442006062064 is an abundant number, since it is smaller than the sum of its proper divisors (601157456912).

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

442006062064 is a wasteful number, since it uses less digits than its factorization.

442006062064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537574 (or 1537568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 442006062064 in words is "four hundred forty-two billion, six million, sixty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 151 238 272 302 476 604 952 1057 1208 1904 2114 2416 2567 4228 5134 8456 10268 16912 17969 20536 35938 41072 71876 143752 287504 1537391 3074782 6149564 10761737 12299128 21523474 24598256 26135647 43046948 52271294 86093896 104542588 172187792 182949529 209085176 232146041 365899058 418170352 464292082 731798116 928584164 1463596232 1625022287 1857168328 2927192464 3250044574 3714336656 3946482697 6500089148 7892965394 13000178296 15785930788 26000356592 27625378879 31571861576 55250757758 63143723152 110501515516 221003031032 442006062064