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2866004064 = 2532711231379
BaseRepresentation
bin1010101011010011…
…1100000001100000
321101201220002110200
42222310330001200
521332144112224
61152220225200
7131010426660
oct25264740140
97351802420
102866004064
11124086a300
1267b99b200
133689c9cc1
141d28c61a0
1511b9265c9
hexaad3c060

2866004064 has 432 divisors, whose sum is σ = 10596418560. Its totient is φ = 718502400.

The previous prime is 2866004059. The next prime is 2866004129. The reversal of 2866004064 is 4604006682.

It is a happy number.

2866004064 is a `hidden beast` number, since 2 + 8 + 6 + 600 + 40 + 6 + 4 = 666.

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

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, 7561827 + ... + 7562205.

Almost surely, 22866004064 is an apocalyptic number.

2866004064 is a gapful number since it is divisible by the number (24) 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 2866004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298209280).

2866004064 is an abundant number, since it is smaller than the sum of its proper divisors (7730414496).

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

2866004064 is a wasteful number, since it uses less digits than its factorization.

2866004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2866004064 is about 53535.0732137353. The cubic root of 2866004064 is about 1420.4488536747.

The spelling of 2866004064 in words is "two billion, eight hundred sixty-six million, four thousand, sixty-four".