Search a number
-
+
5980130682912 = 253259834240217
BaseRepresentation
bin101011100000101101110…
…0100001010100000100000
3210011200202120220122220100
41113001123210022200200
51240434301423323122
620415122322342400
71155023133051051
oct127013344124040
923150676818810
105980130682912
1119a6182961441
12806ba57baa00
13344c01a7c739
14169623004728
15a5854932aac
hex5705b90a820

5980130682912 has 144 divisors (see below), whose sum is σ = 17502602251680. Its totient is φ = 1935980860416.

The previous prime is 5980130682821. The next prime is 5980130682947. The reversal of 5980130682912 is 2192860310895.

5980130682912 is a `hidden beast` number, since 598 + 0 + 1 + 30 + 6 + 8 + 2 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709773 + ... + 3530444.

It is an arithmetic number, because the mean of its divisors is an integer number (121545848970).

Almost surely, 25980130682912 is an apocalyptic number.

It is an amenable number.

5980130682912 is an abundant number, since it is smaller than the sum of its proper divisors (11522471568768).

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

5980130682912 is a wasteful number, since it uses less digits than its factorization.

5980130682912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240375 (or 4240364 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5980130682912 in words is "five trillion, nine hundred eighty billion, one hundred thirty million, six hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 83 96 118 144 166 177 236 249 288 332 354 472 498 531 664 708 747 944 996 1062 1328 1416 1494 1888 1992 2124 2656 2832 2988 3984 4248 4897 5664 5976 7968 8496 9794 11952 14691 16992 19588 23904 29382 39176 44073 58764 78352 88146 117528 156704 176292 235056 352584 470112 705168 1410336 4240217 8480434 12720651 16960868 25441302 33921736 38161953 50882604 67843472 76323906 101765208 135686944 152647812 203530416 250172803 305295624 351938011 407060832 500345606 610591248 703876022 750518409 1000691212 1055814033 1221182496 1407752044 1501036818 2001382424 2111628066 2251555227 2815504088 3002073636 3167442099 4002764848 4223256132 4503110454 5631008176 6004147272 6334884198 8005529696 8446512264 9006220908 11262016352 12008294544 12669768396 16893024528 18012441816 20764342649 24016589088 25339536792 33786049056 36024883632 41528685298 50679073584 62293027947 72049767264 83057370596 101358147168 124586055894 166114741192 186879083841 249172111788 332229482384 373758167682 498344223576 664458964768 747516335364 996688447152 1495032670728 1993376894304 2990065341456 5980130682912