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2660164065 = 335131979777
BaseRepresentation
bin1001111010001110…
…1110000111100001
320212101120100002000
42132203232013201
520422000222230
61115544314213
7122631010236
oct23643560741
96771510060
102660164065
1111456586a9
12622a72969
133351797a0
141b342378d
15108816b60
hex9e8ee1e1

2660164065 has 64 divisors (see below), whose sum is σ = 5361081600. Its totient is φ = 1240676352.

The previous prime is 2660164057. The next prime is 2660164123. The reversal of 2660164065 is 5604610662.

It is a happy number.

2660164065 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 1 + 640 + 6 + 5 = 666.

It is not a de Polignac number, because 2660164065 - 23 = 2660164057 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6544 + ... + 73233.

It is an arithmetic number, because the mean of its divisors is an integer number (83766900).

Almost surely, 22660164065 is an apocalyptic number.

It is an amenable number.

2660164065 is an abundant number, since it is smaller than the sum of its proper divisors (2700917535).

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

2660164065 is a wasteful number, since it uses less digits than its factorization.

2660164065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79823 (or 79817 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2660164065 is about 51576.7783503390. The cubic root of 2660164065 is about 1385.5944682270.

The spelling of 2660164065 in words is "two billion, six hundred sixty million, one hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 79777 239331 398885 717993 1037101 1196655 1515763 2153979 3111303 3589965 4547289 5185505 7578815 9333909 10769895 13641867 15556515 19704919 22736445 28001727 40925601 46669545 59114757 68209335 98524595 140008635 177344271 204628005 295573785 532032813 886721355 2660164065