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8066983680 = 283257231461
BaseRepresentation
bin1111000001101010…
…00110011100000000
3202211012110020020100
413200311012130000
5113010121434210
63412251242400
7403623141600
oct74065063400
922735406210
108066983680
11346a669268
121691749400
139b7396a32
14567542c00
1532332c5c0
hex1e0d46700

8066983680 has 648 divisors, whose sum is σ = 33587858304. Its totient is φ = 1780531200.

The previous prime is 8066983657. The next prime is 8066983693. The reversal of 8066983680 is 863896608.

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 71 ways as a sum of consecutive naturals, for example, 17498650 + ... + 17499110.

Almost surely, 28066983680 is an apocalyptic number.

8066983680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793929152).

8066983680 is an abundant number, since it is smaller than the sum of its proper divisors (25520874624).

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

8066983680 is a wasteful number, since it uses less digits than its factorization.

8066983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8066983680 is about 89816.3887049574. The cubic root of 8066983680 is about 2005.5664661871.

The spelling of 8066983680 in words is "eight billion, sixty-six million, nine hundred eighty-three thousand, six hundred eighty".