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8066299824 = 243211192343271
BaseRepresentation
bin1111000001100100…
…11111011110110000
3202211011011111011100
413200302133132300
5113004433043244
63412224444400
7403614263052
oct74062373660
922734144140
108066299824
11346a2414a0
121691479700
139b71b769b
145674058d2
15323244b69
hex1e0c9f7b0

8066299824 has 480 divisors, whose sum is σ = 27781079040. Its totient is φ = 2155507200.

The previous prime is 8066299823. The next prime is 8066299831. The reversal of 8066299824 is 4289926608.

It is a happy number.

8066299824 is a `hidden beast` number, since 8 + 0 + 6 + 629 + 9 + 8 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (8066299823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29764809 + ... + 29765079.

It is an arithmetic number, because the mean of its divisors is an integer number (57877248).

Almost surely, 28066299824 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 8066299824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890539520).

8066299824 is an abundant number, since it is smaller than the sum of its proper divisors (19714779216).

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

8066299824 is a wasteful number, since it uses less digits than its factorization.

8066299824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

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

The square root of 8066299824 is about 89812.5816575829. The cubic root of 8066299824 is about 2005.5097924879.

The spelling of 8066299824 in words is "eight billion, sixty-six million, two hundred ninety-nine thousand, eight hundred twenty-four".