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66327002300097 = 327114111292067661
BaseRepresentation
bin11110001010010111101010…
…11010010011111011000001
322200211210120211110001210100
433011023311122103323001
532143200200042100342
6353022112035353013
716653652643225250
oct1705136532237301
9280753524401710
1066327002300097
111a15213a725550
12753274aa52769
132b017c0044646
14125435b908797
157a04b6a85e4c
hex3c52f5693ec1

66327002300097 has 96 divisors (see below), whose sum is σ = 122467785672960. Its totient is φ = 33585414912000.

The previous prime is 66327002300093. The next prime is 66327002300101. The reversal of 66327002300097 is 79000320072366.

66327002300097 is a `hidden beast` number, since 6 + 6 + 327 + 0 + 0 + 230 + 0 + 0 + 97 = 666.

It is an interprime number because it is at equal distance from previous prime (66327002300093) and next prime (66327002300101).

It is not a de Polignac number, because 66327002300097 - 22 = 66327002300093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66327002300093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31044447 + ... + 33112107.

It is an arithmetic number, because the mean of its divisors is an integer number (1275706100760).

Almost surely, 266327002300097 is an apocalyptic number.

It is an amenable number.

66327002300097 is a deficient number, since it is larger than the sum of its proper divisors (56140783372863).

66327002300097 is a wasteful number, since it uses less digits than its factorization.

66327002300097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068855 (or 2068852 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 66327002300097 in words is "sixty-six trillion, three hundred twenty-seven billion, two million, three hundred thousand, ninety-seven".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1129 1353 2583 3157 3387 4059 7903 9471 10161 12419 23709 28413 37257 46289 71127 86933 111771 138867 260799 324023 416601 509179 782397 972069 1527537 2067661 2916207 3564253 4582611 6202983 10692759 14473627 18608949 22744271 32078277 43420881 68232813 84774101 130262643 159209897 204698439 254322303 477629691 593418707 762966909 932515111 1432889073 1780256121 2334389269 2797545333 5340768363 6527605777 7003167807 8392635999 16340724883 19582817331 21009503421 25678281959 49022174649 58748451993 77034845877 95709960029 147066523947 179747973713 231104537631 287129880087 539243921139 669969720203 861389640261 1052809560319 1617731763417 2009909160609 3158428680957 6029727481827 7369666922233 9475286042871 22109000766699 66327002300097