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5063382000 = 2432531716547
BaseRepresentation
bin1001011011100110…
…10001001111110000
3111001212122110022200
410231303101033300
540332211211000
62154233503200
7236322015435
oct45563211760
914055573280
105063382000
112169168926
12b93871b00
13629021031
1436067db8c
151e97c6500
hex12dcd13f0

5063382000 has 240 divisors, whose sum is σ = 18726113952. Its totient is φ = 1270732800.

The previous prime is 5063381941. The next prime is 5063382011. The reversal of 5063382000 is 2833605.

5063382000 is a `hidden beast` number, since 5 + 0 + 633 + 8 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 297727 + ... + 314273.

Almost surely, 25063382000 is an apocalyptic number.

5063382000 is a gapful number since it is divisible by the number (50) 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 5063382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363056976).

5063382000 is an abundant number, since it is smaller than the sum of its proper divisors (13662731952).

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

5063382000 is a wasteful number, since it uses less digits than its factorization.

5063382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5063382000 is about 71157.4451480658. The cubic root of 5063382000 is about 1717.1710753691.

The spelling of 5063382000 in words is "five billion, sixty-three million, three hundred eighty-two thousand".