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5005142730 = 2325721577229
BaseRepresentation
bin1001010100101010…
…00110101011001010
3110220211001121001200
410222111012223022
540222304031410
62144353325030
7235014003600
oct45225065312
913824047050
105005142730
1121392aa8a5
12b78266776
13619c3c623
14356a3d870
151e46203c0
hex12a546aca

5005142730 has 144 divisors (see below), whose sum is σ = 15236530920. Its totient is φ = 1136588544.

The previous prime is 5005142713. The next prime is 5005142761. The reversal of 5005142730 is 372415005.

It is a happy number.

5005142730 is a `hidden beast` number, since 500 + 51 + 42 + 73 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4805401041 + 199741689 = 69321^2 + 14133^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5005142694 and 5005142703.

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, 688756 + ... + 695984.

Almost surely, 25005142730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005142730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618265460).

5005142730 is an abundant number, since it is smaller than the sum of its proper divisors (10231388190).

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

5005142730 is a wasteful number, since it uses less digits than its factorization.

5005142730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7403 counting only the distinct ones).

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

The square root of 5005142730 is about 70747.0333653645. The cubic root of 5005142730 is about 1710.5620087653.

Adding to 5005142730 its reverse (372415005), we get a palindrome (5377557735).

The spelling of 5005142730 in words is "five billion, five million, one hundred forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 157 210 245 294 314 315 441 471 490 630 735 785 882 942 1099 1413 1470 1570 2198 2205 2355 2826 3297 4410 4710 5495 6594 7065 7229 7693 9891 10990 14130 14458 15386 16485 19782 21687 23079 32970 36145 38465 43374 46158 49455 50603 65061 69237 72290 76930 98910 101206 108435 115395 130122 138474 151809 216870 230790 253015 303618 325305 346185 354221 455427 506030 650610 692370 708442 759045 910854 1062663 1134953 1518090 1771105 2125326 2269906 2277135 3187989 3404859 3542210 4554270 5313315 5674765 6375978 6809718 7944671 10214577 10626630 11349530 15889342 15939945 17024295 20429154 23834013 31879890 34048590 39723355 47668026 51072885 55612697 71502039 79446710 102145770 111225394 119170065 143004078 166838091 238340130 278063485 333676182 357510195 500514273 556126970 715020390 834190455 1001028546 1668380910 2502571365 5005142730