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6848045568 = 293272132333
BaseRepresentation
bin1100110000010110…
…01110001000000000
3122200020210202111100
412120023032020000
5103011044424233
63051305214400
7331462266300
oct63013161000
918606722440
106848045568
1129a45a7aa1
1213b1491400
138519a1590
1448d6c3600
152a1300813
hex1982ce200

6848045568 has 360 divisors, whose sum is σ = 24769813068. Its totient is φ = 1805303808.

The previous prime is 6848045551. The next prime is 6848045591. The reversal of 6848045568 is 8655408486.

6848045568 is a `hidden beast` number, since 6 + 8 + 4 + 80 + 4 + 556 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6341255424 + 506790144 = 79632^2 + 22512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2934130 + ... + 2936462.

Almost surely, 26848045568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6848045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384906534).

6848045568 is an abundant number, since it is smaller than the sum of its proper divisors (17921767500).

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

6848045568 is a wasteful number, since it uses less digits than its factorization.

6848045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 6848045568 is about 82752.9187884029. The cubic root of 6848045568 is about 1898.9879714761.

The spelling of 6848045568 in words is "six billion, eight hundred forty-eight million, forty-five thousand, five hundred sixty-eight".