Search a number
-
+
6006061005009 = 31317791573831907
BaseRepresentation
bin101011101100110010100…
…1000011111100011010001
3210021011200201101111201020
41113121211020133203101
51241400403104130014
620435051335230053
71156631535130542
oct127314510374321
923234621344636
106006061005009
111a061799501aa
12810021818329
133474a4c680b0
1416a9a2b5c4c9
15a63711211a9
hex5766521f8d1

6006061005009 has 128 divisors (see below), whose sum is σ = 9335061872640. Its totient is φ = 3402018607104.

The previous prime is 6006061004953. The next prime is 6006061005017. The reversal of 6006061005009 is 9005001606006.

It is not a de Polignac number, because 6006061005009 - 29 = 6006061004497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6006061005019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3149480434 + ... + 3149482340.

It is an arithmetic number, because the mean of its divisors is an integer number (72930170880).

Almost surely, 26006061005009 is an apocalyptic number.

It is an amenable number.

6006061005009 is a deficient number, since it is larger than the sum of its proper divisors (3329000867631).

6006061005009 is a wasteful number, since it uses less digits than its factorization.

6006061005009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 6006061005009 in words is "six trillion, six billion, sixty-one million, five thousand, nine".

Divisors: 1 3 13 17 39 51 79 157 221 237 383 471 663 1027 1149 1343 1907 2041 2669 3081 4029 4979 5721 6123 6511 8007 12403 14937 17459 19533 24791 30257 32419 34697 37209 52377 60131 74373 84643 90771 97257 104091 150653 161239 180393 210851 253929 299399 393341 421447 451959 483717 514369 632553 730381 781703 898197 1022227 1180023 1264341 1543107 1958489 2191143 2345109 2561101 2741063 3066681 3892187 4750349 5089783 5875467 6686797 7683303 8223189 9494953 11676561 12416477 13288951 14251047 15269349 20060391 23652521 28484859 33294313 37249431 39866853 57700099 61754537 66167179 70957563 80755933 99882939 114669817 161414201 173100297 185263611 198501537 242267799 307482773 344009451 402092857 484242603 750101287 922448319 980901683 1049827129 1206278571 1490707621 1949386889 2250303861 2942705049 3149481387 4472122863 5227207141 5848160667 9058915543 12751721879 15681621423 25342029557 27176746629 38255165637 76026088671 117765902059 154001564231 353297706177 462004692693 2002020335003 6006061005009