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844445544448 = 2121118742133
BaseRepresentation
bin11000100100111001110…
…00000111000000000000
32222201122212021100000111
430102130320013000000
5102313411024410243
61443533302401104
7115003101460552
oct14223470070000
92881585240014
10844445544448
112a614454a110
121177ab130194
136182804a2bc
142cc2b1054d2
1516e7520c39d
hexc49ce07000

844445544448 has 52 divisors (see below), whose sum is σ = 1842201835128. Its totient is φ = 383838863360.

The previous prime is 844445544427. The next prime is 844445544463.

844445544448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 844445544392 and 844445544401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9326011 + ... + 9416122.

Almost surely, 2844445544448 is an apocalyptic number.

844445544448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844445544448 is an abundant number, since it is smaller than the sum of its proper divisors (997756290680).

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

844445544448 is a wasteful number, since it uses less digits than its factorization.

844445544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742168 (or 18742146 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 58.

The spelling of 844445544448 in words is "eight hundred forty-four billion, four hundred forty-five million, five hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 45056 18742133 37484266 74968532 149937064 206163463 299874128 412326926 599748256 824653852 1199496512 1649307704 2398993024 3298615408 4797986048 6597230816 9595972096 13194461632 19191944192 26388923264 38383888384 52777846528 76767776768 105555693056 211111386112 422222772224 844445544448