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10843454944 = 257157308333
BaseRepresentation
bin10100001100101000…
…11111110111100000
31000222200212120210101
422012110133313200
5134201411024234
64551552512144
7532465563160
oct120624376740
930880776711
1010843454944
114664936213
12212754b654
13103a67663a
1474c1a05a0
15436e6a814
hex28651fde0

10843454944 has 48 divisors (see below), whose sum is σ = 24553253088. Its totient is φ = 4617580032.

The previous prime is 10843454933. The next prime is 10843455011. The reversal of 10843454944 is 44945434801.

10843454944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10843454894 and 10843454903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118999 + ... + 189334.

It is an arithmetic number, because the mean of its divisors is an integer number (511526106).

Almost surely, 210843454944 is an apocalyptic number.

10843454944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10843454944 is an abundant number, since it is smaller than the sum of its proper divisors (13709798144).

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

10843454944 is a wasteful number, since it uses less digits than its factorization.

10843454944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308507 (or 308499 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 10843454944 in words is "ten billion, eight hundred forty-three million, four hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 4396 5024 8792 17584 35168 308333 616666 1233332 2158331 2466664 4316662 4933328 8633324 9866656 17266648 34533296 48408281 69066592 96816562 193633124 338857967 387266248 677715934 774532496 1355431868 1549064992 2710863736 5421727472 10843454944