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2143728288 = 25331317103109
BaseRepresentation
bin111111111000110…
…1011001010100000
312112101210200101000
41333301223022200
513342243301123
6552415312000
7104060250462
oct17761531240
95471720330
102143728288
11a00095879
124b9b1b600
1328218b6a0
141649d0132
15c8303b43
hex7fc6b2a0

2143728288 has 384 divisors, whose sum is σ = 7264857600. Its totient is φ = 609140736.

The previous prime is 2143728277. The next prime is 2143728313. The reversal of 2143728288 is 8828273412.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19667178 + ... + 19667286.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 22143728288 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 2143728288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

2143728288 is an abundant number, since it is smaller than the sum of its proper divisors (5121129312).

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

2143728288 is a wasteful number, since it uses less digits than its factorization.

2143728288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2143728288 is about 46300.4134754756. The cubic root of 2143728288 is about 1289.4066714378.

The spelling of 2143728288 in words is "two billion, one hundred forty-three million, seven hundred twenty-eight thousand, two hundred eighty-eight".