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5750101728 = 2532743113587
BaseRepresentation
bin1010101101011101…
…11001011011100000
3112211201211102200200
411112232321123200
543234011223403
62350324345200
7262331025660
oct52656713340
915751742620
105750101728
112490867598
121145845200
13708390777
143c795c1a0
15239c23ca3
hex156bb96e0

5750101728 has 288 divisors, whose sum is σ = 19324521216. Its totient is φ = 1587769344.

The previous prime is 5750101723. The next prime is 5750101733. The reversal of 5750101728 is 8271010575.

5750101728 is a `hidden beast` number, since 575 + 0 + 10 + 1 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5750101723) and next prime (5750101733).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 5750101692 and 5750101701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750101723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9795451 + ... + 9796037.

It is an arithmetic number, because the mean of its divisors is an integer number (67099032).

Almost surely, 25750101728 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 5750101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662260608).

5750101728 is an abundant number, since it is smaller than the sum of its proper divisors (13574419488).

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

5750101728 is a wasteful number, since it uses less digits than its factorization.

5750101728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5750101728 is about 75829.4252121167. The cubic root of 5750101728 is about 1791.5345005556.

The spelling of 5750101728 in words is "five billion, seven hundred fifty million, one hundred one thousand, seven hundred twenty-eight".