Search a number
-
+
16005516661116 = 22327335338234513
BaseRepresentation
bin1110100011101001001100…
…1000101001000101111100
32002200010000222100020002200
43220322103020221011330
54044213244231123431
654012455521151500
73241234423611543
oct350722310510574
962603028306080
1016005516661116
1151109a098a634
121965b8718b590
138c14103b3728
143d495787115a
151cb51838bee6
hexe8e9322917c

16005516661116 has 144 divisors (see below), whose sum is σ = 41148670932096. Its totient is φ = 5244645998592.

The previous prime is 16005516661111. The next prime is 16005516661129. The reversal of 16005516661116 is 61116661550061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16005516661111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546533676 + ... + 3546538188.

Almost surely, 216005516661116 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 16005516661116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574335466048).

16005516661116 is an abundant number, since it is smaller than the sum of its proper divisors (25143154270980).

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

16005516661116 is a wasteful number, since it uses less digits than its factorization.

16005516661116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 16005516661116 in words is "sixteen trillion, five billion, five hundred sixteen million, six hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 353 438 657 706 876 1059 1314 1412 2118 2628 3177 3823 4236 4513 6354 7646 9026 11469 12708 13539 15292 18052 22938 25769 27078 34407 40617 45876 51538 54156 68814 77307 81234 103076 137628 154614 162468 231921 279079 309228 329449 463842 558158 658898 837237 927684 988347 1116316 1317796 1349519 1593089 1674474 1976694 2511711 2699038 2965041 3186178 3348948 3953388 4048557 4779267 5023422 5398076 5930082 6372356 8097114 9558534 10046844 11860164 12145671 14337801 16194228 17253199 19117068 24291342 28675602 34506398 48582684 51759597 57351204 69012796 98514887 103519194 116295497 155278791 197029774 207038388 232590994 295544661 310557582 348886491 394059548 465181988 591089322 621115164 697772982 886633983 1046659473 1182178644 1259483527 1395545964 1773267966 2093318946 2518967054 3546535932 3778450581 4186637892 5037934108 6090379247 7556901162 11335351743 12180758494 15113802324 18271137741 22670703486 24361516988 36542275482 45341406972 54813413223 73084550964 109626826446 219253652892 444597685031 889195370062 1333793055093 1778390740124 2667586110186 4001379165279 5335172220372 8002758330558 16005516661116