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5309728512 = 283113716987
BaseRepresentation
bin1001111000111110…
…00000011100000000
3111201001012011012120
410330133000130000
541333242303022
62234513524240
7245402643024
oct47437003400
914631164176
105309728512
112285226690
121042273680
136680847ba
14385288384
15211237d5c
hex13c7c0700

5309728512 has 144 divisors (see below), whose sum is σ = 15833903232. Its totient is φ = 1565429760.

The previous prime is 5309728483. The next prime is 5309728513. The reversal of 5309728512 is 2158279035.

It is a happy number.

It is a super-2 number, since 2×53097285122 = 56386433742291468288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309728513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304083 + ... + 321069.

Almost surely, 25309728512 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 5309728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916951616).

5309728512 is an abundant number, since it is smaller than the sum of its proper divisors (10524174720).

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

5309728512 is a wasteful number, since it uses less digits than its factorization.

5309728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 5309728512 is about 72867.8839544555. The cubic root of 5309728512 is about 1744.5795285256.

The spelling of 5309728512 in words is "five billion, three hundred nine million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6512 7104 8448 9472 9768 13024 14208 16987 19536 26048 28416 33974 39072 50961 52096 67948 78144 101922 104192 135896 156288 186857 203844 271792 312576 373714 407688 543584 560571 628519 747428 815376 1087168 1121142 1257038 1494856 1630752 1885557 2174336 2242284 2514076 2989712 3261504 3771114 4348672 4484568 5028152 5979424 6523008 6913709 7542228 8969136 10056304 11958848 13046016 13827418 15084456 17938272 20112608 20741127 23917696 27654836 30168912 35876544 40225216 41482254 47835392 55309672 60337824 71753088 80450432 82964508 110619344 120675648 143506176 160900864 165929016 221238688 241351296 331858032 442477376 482702592 663716064 884954752 1327432128 1769909504 2654864256 5309728512