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66000567105 = 32511768117359
BaseRepresentation
bin111101011101111100…
…001011101101000001
320022100200201012100100
4331131330023231001
52040132121121410
650153101113013
74524361364304
oct753574135501
9208320635310
1066000567105
1125a99665a30
121095b558769
1362ba994105
1432a17acb3b
151ab444d8c0
hexf5df0bb41

66000567105 has 48 divisors (see below), whose sum is σ = 124824510720. Its totient is φ = 31994265600.

The previous prime is 66000567043. The next prime is 66000567109. The reversal of 66000567105 is 50176500066.

It is a happy number.

It is not a de Polignac number, because 66000567105 - 26 = 66000567041 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66000567105.

It is not an unprimeable number, because it can be changed into a prime (66000567109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3793416 + ... + 3810774.

It is an arithmetic number, because the mean of its divisors is an integer number (2600510640).

Almost surely, 266000567105 is an apocalyptic number.

It is an amenable number.

66000567105 is a deficient number, since it is larger than the sum of its proper divisors (58823943615).

66000567105 is a wasteful number, since it uses less digits than its factorization.

66000567105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062 (or 25059 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 66000567105 in words is "sixty-six billion, five hundred sixty-seven thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 7681 17359 23043 38405 52077 69129 84491 86795 115215 156231 190949 253473 260385 345645 422455 572847 760419 781155 954745 1267365 1718541 2864235 3802095 8592705 133334479 400003437 666672395 1200010311 1466679269 2000017185 4400037807 6000051555 7333396345 13200113421 22000189035 66000567105