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5734512000 = 27325375689
BaseRepresentation
bin1010101011100110…
…11011010110000000
3112210122111101121100
411111303123112000
543221013341000
62345010254400
7262051355610
oct52563332600
915718441540
105734512000
112482a89818
121140587400
13705092889
143c5860a40
15238694a00
hex155cdb580

5734512000 has 384 divisors, whose sum is σ = 23540212800. Its totient is φ = 1310515200.

The previous prime is 5734511983. The next prime is 5734512001. The reversal of 5734512000 is 2154375.

It is a happy number.

5734512000 is a `hidden beast` number, since 5 + 7 + 3 + 451 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5734512001) 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, 1005156 + ... + 1010844.

Almost surely, 25734512000 is an apocalyptic number.

5734512000 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 5734512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770106400).

5734512000 is an abundant number, since it is smaller than the sum of its proper divisors (17805700800).

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

5734512000 is a wasteful number, since it uses less digits than its factorization.

5734512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5734512000 is about 75726.5607300371. The cubic root of 5734512000 is about 1789.9139602642.

Adding to 5734512000 its reverse (2154375), we get a palindrome (5736666375).

The spelling of 5734512000 in words is "five billion, seven hundred thirty-four million, five hundred twelve thousand".