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728540065944 = 2332109433214391
BaseRepresentation
bin10101001101000000101…
…11110011000010011000
32120122111012122222002100
422212200113303002120
543414022224102234
61314404154003400
7103430621245605
oct12464027630230
92518435588070
10728540065944
11260a76968659
12b9242716560
135391622a622
14273938b96ac
1513e3e94d399
hexa9a05f3098

728540065944 has 96 divisors (see below), whose sum is σ = 1995839445600. Its totient is φ = 240061916160.

The previous prime is 728540065927. The next prime is 728540065963. The reversal of 728540065944 is 449560045827.

728540065944 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 40 + 0 + 6 + 594 + 4 = 666.

It is a super-2 number, since 2×7285400659442 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3290989 + ... + 3505379.

It is an arithmetic number, because the mean of its divisors is an integer number (20789994225).

Almost surely, 2728540065944 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 728540065944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997919722800).

728540065944 is an abundant number, since it is smaller than the sum of its proper divisors (1267299379656).

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

728540065944 is a wasteful number, since it uses less digits than its factorization.

728540065944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214945 (or 214938 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 728540065944 in words is "seven hundred twenty-eight billion, five hundred forty million, sixty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 433 436 654 866 872 981 1299 1308 1732 1962 2598 2616 3464 3897 3924 5196 7794 7848 10392 15588 31176 47197 94394 141591 188788 214391 283182 377576 424773 428782 566364 643173 849546 857564 1132728 1286346 1699092 1715128 1929519 2572692 3398184 3859038 5145384 7718076 15436152 23368619 46737238 70105857 92831303 93474476 140211714 185662606 186948952 210317571 278493909 280423428 371325212 420635142 556987818 560846856 742650424 835481727 841270284 1113975636 1670963454 1682540568 2227951272 3341926908 6683853816 10118612027 20237224054 30355836081 40474448108 60711672162 80948896216 91067508243 121423344324 182135016486 242846688648 364270032972 728540065944