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2885048064 = 28332937389
BaseRepresentation
bin1010101111110110…
…0101011100000000
321110001201121221000
42223331211130000
521402033014224
61154140332000
7131331334563
oct25375453400
97401647830
102885048064
111250597348
12686244000
1336c937242
141d52424da
1511d4390c9
hexabf65700

2885048064 has 288 divisors, whose sum is σ = 9087624000. Its totient is φ = 901103616.

The previous prime is 2885048039. The next prime is 2885048069. The reversal of 2885048064 is 4608405882.

2885048064 is a `hidden beast` number, since 2 + 8 + 8 + 504 + 80 + 64 = 666.

2885048064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2885048069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416382 + ... + 7416770.

It is an arithmetic number, because the mean of its divisors is an integer number (31554250).

Almost surely, 22885048064 is an apocalyptic number.

2885048064 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 2885048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543812000).

2885048064 is an abundant number, since it is smaller than the sum of its proper divisors (6202575936).

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

2885048064 is a wasteful number, since it uses less digits than its factorization.

2885048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2885048064 is about 53712.6434277815. The cubic root of 2885048064 is about 1423.5881062631.

The spelling of 2885048064 in words is "two billion, eight hundred eighty-five million, forty-eight thousand, sixty-four".