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5744588512 = 2513210310313
BaseRepresentation
bin1010101100110011…
…10111011011100000
3112211100110022222111
411112121313123200
543231103313022
62350010245104
7262233124315
oct52631673340
915740408874
105744588512
112488741413
121143a26794
137071b0200
143c6d24d0c
152394d5477
hex1566776e0

5744588512 has 72 divisors (see below), whose sum is σ = 12366651024. Its totient is φ = 2625352704.

The previous prime is 5744588503. The next prime is 5744588519. The reversal of 5744588512 is 2158854475.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5744588519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551868 + ... + 562180.

It is an arithmetic number, because the mean of its divisors is an integer number (171759042).

Almost surely, 25744588512 is an apocalyptic number.

5744588512 is a gapful number since it is divisible by the number (52) 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 5744588512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183325512).

5744588512 is an abundant number, since it is smaller than the sum of its proper divisors (6622062512).

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

5744588512 is a wasteful number, since it uses less digits than its factorization.

5744588512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10431 counting only the distinct ones).

The product of its digits is 1792000, while the sum is 49.

The square root of 5744588512 is about 75793.0637459656. The cubic root of 5744588512 is about 1790.9617411182.

The spelling of 5744588512 in words is "five billion, seven hundred forty-four million, five hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 169 206 208 338 412 416 676 824 1339 1352 1648 2678 2704 3296 5356 5408 10313 10712 17407 20626 21424 34814 41252 42848 69628 82504 134069 139256 165008 268138 278512 330016 536276 557024 1062239 1072552 1742897 2124478 2145104 3485794 4248956 4290208 6971588 8497912 13809107 13943176 16995824 27618214 27886352 33991648 55236428 55772704 110472856 179518391 220945712 359036782 441891424 718073564 1436147128 2872294256 5744588512