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441804819856 = 24107215532
BaseRepresentation
bin1100110110111011001…
…11101000110110010000
31120020101010201020220011
412123131213220312100
524214304013213411
6534543510324304
743630223002201
oct6333547506620
91506333636804
10441804819856
111604063372a4
127175b659694
133287b5aa73a
141755233d5a8
15b75ba8bc21
hex66dd9e8d90

441804819856 has 45 divisors (see below), whose sum is σ = 864628321921. Its totient is φ = 218696988416.

The previous prime is 441804819851. The next prime is 441804819917. The reversal of 441804819856 is 658918408144.

The square root of 441804819856 is 664684.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44884659600 + 396920160256 = 211860^2 + 630016^2 .

It is a super-2 number, since 2×4418048198562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 441804819856.

It is not an unprimeable number, because it can be changed into a prime (441804819851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284483976 + ... + 284485528.

Almost surely, 2441804819856 is an apocalyptic number.

441804819856 is the 664684-th square number.

It is an amenable number.

441804819856 is a deficient number, since it is larger than the sum of its proper divisors (422823502065).

441804819856 is an frugal number, since it uses more digits than its factorization.

441804819856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 441804819856 in words is "four hundred forty-one billion, eight hundred four million, eight hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 107 214 428 856 1553 1712 3106 6212 11449 12424 22898 24848 45796 91592 166171 183184 332342 664684 1329368 2411809 2658736 4823618 9647236 17780297 19294472 35560594 38588944 71121188 142242376 258063563 284484752 516127126 1032254252 2064508504 4129017008 27612801241 55225602482 110451204964 220902409928 441804819856