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8325844786116 = 2234112132192592
BaseRepresentation
bin111100100101000001100…
…0001010101101111000100
31002110221110102211121010000
41321022003001111233010
52042402312231123431
625412501300401300
71516344124000344
oct171120301255704
932427412747100
108325844786116
11271aa75366900
12b257306a6230
1348517bc90300
1420ad8a030d24
15e68935689e6
hex79283055bc4

8325844786116 has 1215 divisors, whose sum is σ = 27812308848093. Its totient is φ = 2168938062720.

The previous prime is 8325844786099. The next prime is 8325844786141. The reversal of 8325844786116 is 6116874485238.

The square root of 8325844786116 is 2885454.

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

8325844786116 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 8 + 4 + 4 + 7 + 8 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1231633844100 + 7094210942016 = 1109790^2 + 2663496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 141116013295 + ... + 141116013353.

Almost surely, 28325844786116 is an apocalyptic number.

8325844786116 is the 2885454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8325844786116

8325844786116 is an abundant number, since it is smaller than the sum of its proper divisors (19486464061977).

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

8325844786116 is a wasteful number, since it uses less digits than its factorization.

8325844786116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 107 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 8325844786116 in words is "eight trillion, three hundred twenty-five billion, eight hundred forty-four million, seven hundred eighty-six thousand, one hundred sixteen".