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66301840404345 = 35713337577249797
BaseRepresentation
bin11110001001101000110011…
…01001010010111101111001
322200202101122020220022202110
433010310121221102331321
532142242132120414340
6353002351152522533
716652102261520510
oct1704643151227571
9280671566808673
1066301840404345
111a1424a8471887
1275298a8250449
132acc310105830
141253051c5b677
1579e9e2a84680
hex3c4d19a52f79

66301840404345 has 128 divisors (see below), whose sum is σ = 131178530036736. Its totient is φ = 27846442745856.

The previous prime is 66301840404277. The next prime is 66301840404389. The reversal of 66301840404345 is 54340404810366.

It is not a de Polignac number, because 66301840404345 - 220 = 66301839355769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66301840404294 and 66301840404303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265297987 + ... + 265547783.

It is an arithmetic number, because the mean of its divisors is an integer number (1024832265912).

Almost surely, 266301840404345 is an apocalyptic number.

66301840404345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66301840404345 is a deficient number, since it is larger than the sum of its proper divisors (64876689632391).

66301840404345 is a wasteful number, since it uses less digits than its factorization.

66301840404345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250739.

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 66301840404345 in words is "sixty-six trillion, three hundred one billion, eight hundred forty million, four hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 337 455 577 1011 1365 1685 1731 2359 2885 4039 4381 5055 7077 7501 8655 11795 12117 13143 20195 21905 22503 30667 35385 37505 52507 60585 65715 92001 112515 153335 157521 194449 249797 262535 460005 583347 749391 787605 972245 1248985 1361143 1748579 2527837 2916735 3247361 3746955 4083429 5245737 6805715 7583511 8742895 9742083 12639185 16236805 17694859 20417145 22731527 26228685 37917555 48710415 53084577 68194581 84181589 88474295 113657635 144132869 252544767 265422885 340972905 420907945 432398607 589271123 720664345 1008930083 1094360657 1262723835 1767813369 1873727297 2161993035 2946355615 3026790249 3283081971 5044650415 5471803285 5621181891 7660524599 8839066845 9368636485 13116091079 15133951245 16415409855 22981573797 28105909455 38302622995 39348273237 48572776853 65580455395 114907868985 145718330559 196741366185 242863884265 340009437971 631446099089 728591652795 1020028313913 1700047189855 1894338297267 3157230495445 4420122693623 5100141569565 9471691486335 13260368080869 22100613468115 66301840404345