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164066265 = 32511331447
BaseRepresentation
bin10011100011101…
…11001111011001
3102102201102121100
421301313033121
5314000110030
624140302013
74031353206
oct1161671731
9372642540
10164066265
118467a460
1246b41909
1327cb553c
1417b0acad
15e60c360
hex9c773d9

164066265 has 24 divisors (see below), whose sum is σ = 310235328. Its totient is φ = 79547040.

The previous prime is 164066263. The next prime is 164066321. The reversal of 164066265 is 562660461.

It is a happy number.

164066265 is a `hidden beast` number, since 1 + 640 + 6 + 6 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 164066265 - 21 = 164066263 is a prime.

It is a super-2 number, since 2×1640662652 = 53835478622100450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164066261) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165229 + ... + 166218.

It is an arithmetic number, because the mean of its divisors is an integer number (12926472).

Almost surely, 2164066265 is an apocalyptic number.

164066265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164066265 is a deficient number, since it is larger than the sum of its proper divisors (146169063).

164066265 is a wasteful number, since it uses less digits than its factorization.

164066265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331469 (or 331466 counting only the distinct ones).

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

The square root of 164066265 is about 12808.8354271573. The cubic root of 164066265 is about 547.4440801084. Note that the first 3 decimals are identical.

The spelling of 164066265 in words is "one hundred sixty-four million, sixty-six thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 331447 994341 1657235 2983023 3645917 4971705 10937751 14915115 18229585 32813253 54688755 164066265