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5730623010 = 2325722944809
BaseRepresentation
bin1010101011001001…
…00101111000100010
3112210101011210220200
411111210211320202
543214014414020
62344351050030
7262003330500
oct52544457042
915711153820
105730623010
112480872982
12113b210916
137043306b8
143c512b670
15238177590
hex155925e22

5730623010 has 144 divisors (see below), whose sum is σ = 17930273400. Its totient is φ = 1264660992.

The previous prime is 5730623009. The next prime is 5730623021. The reversal of 5730623010 is 103260375.

It is a happy number.

5730623010 is a `hidden beast` number, since 5 + 7 + 30 + 623 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5071006521 + 659616489 = 71211^2 + 25683^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105486 + ... + 150294.

Almost surely, 25730623010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5730623010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965136700).

5730623010 is an abundant number, since it is smaller than the sum of its proper divisors (12199650390).

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

5730623010 is a wasteful number, since it uses less digits than its factorization.

5730623010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44865 (or 44855 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5730623010 is about 75700.8785285878. The cubic root of 5730623010 is about 1789.5092451136.

Adding to 5730623010 its reverse (103260375), we get a palindrome (5833883385).

The spelling of 5730623010 in words is "five billion, seven hundred thirty million, six hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 406 435 441 490 522 609 630 735 870 882 1015 1218 1305 1421 1470 1827 2030 2205 2610 2842 3045 3654 4263 4410 6090 7105 8526 9135 12789 14210 18270 21315 25578 42630 44809 63945 89618 127890 134427 224045 268854 313663 403281 448090 627326 672135 806562 940989 1299461 1344270 1568315 1881978 2016405 2195641 2598922 2822967 3136630 3898383 4032810 4391282 4704945 5645934 6497305 6586923 7796766 9096227 9409890 10978205 11695149 12994610 13173846 14114835 18192454 19491915 19760769 21956410 23390298 27288681 28229670 32934615 38983830 39521538 45481135 54577362 58475745 63673589 65869230 81866043 90962270 98803845 116951490 127347178 136443405 163732086 191020767 197607690 272886810 318367945 382041534 409330215 573062301 636735890 818660430 955103835 1146124602 1910207670 2865311505 5730623010