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66455199155466 = 2321121910115899963
BaseRepresentation
bin11110001110000110011101…
…00010100000010100001010
322201022001111002110001222200
433013003032202200110022
532202300221440433331
6353201032543101030
716666141533430212
oct1707031642402412
9281261432401880
1066455199155466
111a1a1545492400
1275535678a1776
132b10910497994
14125a63d71d242
157a39bb46e5e6
hex3c70ce8a050a

66455199155466 has 144 divisors (see below), whose sum is σ = 168245151066720. Its totient is φ = 18889154856000.

The previous prime is 66455199155441. The next prime is 66455199155507.

It is a happy number.

66455199155466 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 5 + 1 + 9 + 9 + 1 + 554 + 66 = 666.

66455199155466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66455199155394 and 66455199155403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3770400 + ... + 12129563.

It is an arithmetic number, because the mean of its divisors is an integer number (1168369104630).

Almost surely, 266455199155466 is an apocalyptic number.

66455199155466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66455199155466 is an abundant number, since it is smaller than the sum of its proper divisors (101789951911254).

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

66455199155466 is a wasteful number, since it uses less digits than its factorization.

66455199155466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15900113 (or 15900099 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 66455199155466 in words is "sixty-six trillion, four hundred fifty-five billion, one hundred ninety-nine million, one hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 101 114 121 171 198 202 209 242 303 342 363 418 606 627 726 909 1089 1111 1254 1818 1881 1919 2178 2222 2299 3333 3762 3838 4598 5757 6666 6897 9999 11514 12221 13794 17271 19998 20691 21109 24442 34542 36663 41382 42218 63327 73326 109989 126654 189981 219978 232199 379962 464398 696597 1393194 2089791 4179582 15899963 31799926 47699889 95399778 143099667 174899593 286199334 302099297 349799186 524698779 604198594 906297891 1049397558 1574096337 1605896263 1812595782 1923895523 2718893673 3148192674 3211792526 3323092267 3847791046 4817688789 5437787346 5771686569 6646184534 9635377578 9969276801 11543373138 14453066367 17315059707 17664858893 19938553602 28906132734 29907830403 30512028997 34630119414 35329717786 36554014937 52994576679 59815660806 61024057994 73108029874 91536086991 105989153358 109662044811 158983730037 183072173982 194313447823 219324089622 274608260973 317967460074 328986134433 335632318967 388626895646 549216521946 582940343469 657972268866 671264637934 1006896956901 1165880686938 1748821030407 2013793913802 3020690870703 3497642060814 3691955508637 6041381741406 7383911017274 11075866525911 22151733051822 33227599577733 66455199155466