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8017053444 = 2232149232
BaseRepresentation
bin1110111011101101…
…01000011100000100
3202200201111111211100
413131312220130010
5112404331202234
63403305140100
7402445554441
oct73566503404
922621444740
108017053444
113444465a04
121678a8a630
139a9c3430a
14560a669c8
1531dc68399
hex1ddda8704

8017053444 has 27 divisors (see below), whose sum is σ = 20266687623. Its totient is φ = 2672172072.

The previous prime is 8017053379. The next prime is 8017053463. The reversal of 8017053444 is 4443507108.

The square root of 8017053444 is 89538.

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

8017053444 is a `hidden beast` number, since 80 + 1 + 7 + 0 + 534 + 44 = 666.

It is a super-2 number, since 2×80170534442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8017053399 and 8017053408.

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 8 ways as a sum of consecutive naturals, for example, 529767 + ... + 544689.

Almost surely, 28017053444 is an apocalyptic number.

8017053444 is the 89538-th square number.

It is an amenable number.

8017053444 is an abundant number, since it is smaller than the sum of its proper divisors (12249634179).

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

8017053444 is an equidigital number, since it uses as much as digits as its factorization.

8017053444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 8017053444 is about 2001.4201117360.

Multiplying 8017053444 by its sum of digits (36), we get a square (288613923984 = 5372282).

8017053444 divided by its sum of digits (36) gives a square (222695929 = 149232).

The spelling of 8017053444 in words is "eight billion, seventeen million, fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 14923 29846 44769 59692 89538 134307 179076 268614 537228 222695929 445391858 668087787 890783716 1336175574 2004263361 2672351148 4008526722 8017053444