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66168766020880 = 2457913982319151
BaseRepresentation
bin11110000101110000111011…
…10010110011110100010000
322200021200011001222012212101
433002320131302303310100
532133102113100132010
6352421302251010144
716636351464106165
oct1702703562636420
9280250131865771
1066168766020880
111a0a101a447976
127507b49a39954
132abc8c33049b3
14124a82a34606c
1579b304d8773a
hex3c2e1dcb3d10

66168766020880 has 160 divisors (see below), whose sum is σ = 156946754764800. Its totient is φ = 25938484416000.

The previous prime is 66168766020761. The next prime is 66168766020919. The reversal of 66168766020880 is 8802066786166.

66168766020880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7230764305 + ... + 7230773455.

It is an arithmetic number, because the mean of its divisors is an integer number (980917217280).

Almost surely, 266168766020880 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 66168766020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78473377382400).

66168766020880 is an abundant number, since it is smaller than the sum of its proper divisors (90777988743920).

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

66168766020880 is a wasteful number, since it uses less digits than its factorization.

66168766020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17613 (or 17607 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 66168766020880 in words is "sixty-six trillion, one hundred sixty-eight billion, seven hundred sixty-six million, twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 139 158 278 316 395 556 632 695 790 1112 1264 1390 1580 2224 2780 3160 5560 6320 8231 9151 10981 11120 16462 18302 21962 32924 36604 41155 43924 45755 54905 65848 73208 82310 87848 91510 109810 131696 146416 164620 175696 183020 219620 329240 366040 439240 650249 658480 722929 732080 878480 1144109 1271989 1300498 1445858 2288218 2543978 2600996 2891716 3251245 3614645 4576436 5087956 5201992 5720545 5783432 6359945 6502490 7229290 9152872 10175912 10403984 11441090 11566864 12719890 13004980 14458580 18305744 20351824 22882180 25439780 26009960 28917160 45764360 50879560 52019920 57834320 75321881 90384611 91528720 100487131 101759120 150643762 180769222 200974262 301287524 361538444 376609405 401948524 451923055 502435655 602575048 723076888 753218810 803897048 903846110 1004871310 1205150096 1446153776 1506437620 1607794096 1807692220 2009742620 3012875240 3615384440 4019485240 5950428599 6025750480 7230768880 8038970480 10469741459 11900857198 20939482918 23801714396 29752142995 41878965836 47603428792 52348707295 59504285990 83757931672 95206857584 104697414590 119008571980 167515863344 209394829180 238017143960 418789658360 476034287920 827109575261 837579316720 1654219150522 3308438301044 4135547876305 6616876602088 8271095752610 13233753204176 16542191505220 33084383010440 66168766020880