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66607744770666 = 232113116649651793
BaseRepresentation
bin11110010010100010100101…
…11101110110001001101010
322201211122020020221020102200
433021101102331312021222
532212300130130130131
6353355101525041030
720013152002653141
oct1711212275661152
9281748206836380
1066607744770666
111a25020550a970
12757903ab56176
132b22111257c08
141263b911d6758
157a794878a2e6
hex3c9452f7626a

66607744770666 has 96 divisors (see below), whose sum is σ = 162525094617600. Its totient is φ = 19531859788800.

The previous prime is 66607744770643. The next prime is 66607744770683.

66607744770666 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66607744770594 and 66607744770603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101865666 + ... + 102517458.

It is an arithmetic number, because the mean of its divisors is an integer number (1692969735600).

Almost surely, 266607744770666 is an apocalyptic number.

66607744770666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66607744770666 is an abundant number, since it is smaller than the sum of its proper divisors (95917349846934).

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

66607744770666 is a wasteful number, since it uses less digits than its factorization.

66607744770666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668492 (or 668489 counting only the distinct ones).

The product of its (nonzero) digits is 1792336896, while the sum is 72.

The spelling of 66607744770666 in words is "sixty-six trillion, six hundred seven billion, seven hundred forty-four million, seven hundred seventy thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 16649 33298 49947 99894 149841 183139 299682 366278 516119 549417 651793 1032238 1098834 1303586 1548357 1648251 1955379 3096714 3296502 3910758 4645071 5677309 5866137 7169723 9290142 11354618 11732274 14339446 17031927 20205583 21509169 34063854 40411166 43018338 51095781 60616749 64527507 102191562 121233498 129055014 181850247 222261413 363700494 444522826 666784239 1333568478 2000352717 4000705434 10851701657 21703403314 32555104971 65110209942 97665314913 119368718227 195330629826 238737436454 336402751367 358106154681 672805502734 716212309362 1009208254101 1074318464043 2018416508202 2148636928086 3027624762303 3700430265037 6055249524606 7400860530074 11101290795111 22202581590222 33303872385333 66607744770666