Search a number
-
+
66546546640112 = 24711173851825073
BaseRepresentation
bin11110010000110000100110…
…10001100000010011110000
322201121210021020212002112202
433020120103101200103300
532210244311414440422
6353311021140442332
720005554314304350
oct1710302321402360
9281553236762482
1066546546640112
111a227260793670
1275691bb9a93a8
132b1940a50c446
141260c2757cb60
157a6065c6ab92
hex3c86134604f0

66546546640112 has 160 divisors (see below), whose sum is σ = 170249016651264. Its totient is φ = 24395728896000.

The previous prime is 66546546640109. The next prime is 66546546640151. The reversal of 66546546640112 is 21104664564566.

It is a super-4 number, since 4×665465466401124 (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80242808 + ... + 81067880.

Almost surely, 266546546640112 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 66546546640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85124508325632).

66546546640112 is an abundant number, since it is smaller than the sum of its proper divisors (103702470011152).

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

66546546640112 is a wasteful number, since it uses less digits than its factorization.

66546546640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828967 (or 828961 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 56.

The spelling of 66546546640112 in words is "sixty-six trillion, five hundred forty-six billion, five hundred forty-six million, six hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 3851 5236 7702 10472 15404 20944 26957 30808 42361 53914 61616 65467 84722 107828 130934 169444 215656 261868 296527 338888 431312 458269 523736 593054 677776 720137 825073 916538 1047472 1186108 1440274 1650146 1833076 2372216 2880548 3300292 3666152 4744432 5040959 5761096 5775511 6600584 7332304 9075803 10081918 11522192 11551022 13201168 14026241 18151606 20163836 23102044 28052482 36303212 40327672 46204088 56104964 63530621 72606424 80655344 92408176 98183687 112209928 127061242 145212848 154288651 196367374 224419856 254122484 308577302 392734748 508244968 617154604 785469496 1016489936 1080020557 1234309208 1570938992 2160041114 2468618416 3177356123 4320082228 6354712246 8640164456 12709424492 17280328912 22241492861 25418848984 34950917353 44482985722 50837697968 54015054091 69901834706 88965971444 108030108182 139803669412 177931942888 216060216364 244656421471 279607338824 355863885776 378105378637 432120432728 489312842942 559214677648 594165595001 756210757274 864240865456 978625685884 1188331190002 1512421514548 1957251371768 2376662380004 3024843029096 3914502743536 4159159165007 4753324760008 6049686058192 8318318330014 9506649520016 16636636660028 33273273320056 66546546640112