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66165253 = 7113153523
BaseRepresentation
bin1111110001100…
…1101000000101
311121111112122221
43330121220011
5113414242003
610322052341
71432252420
oct374315005
9147445587
1066165253
1134391a30
121a1aa0b1
131092824b
148b049b7
155c1e7bd
hex3f19a05

66165253 has 32 divisors (see below), whose sum is σ = 86925312. Its totient is φ = 48859200.

The previous prime is 66165223. The next prime is 66165257. The reversal of 66165253 is 35256166.

66165253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 66165253 - 221 = 64068101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66165257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126250 + ... + 126772.

It is an arithmetic number, because the mean of its divisors is an integer number (2716416).

Almost surely, 266165253 is an apocalyptic number.

It is an amenable number.

66165253 is a deficient number, since it is larger than the sum of its proper divisors (20760059).

66165253 is a wasteful number, since it uses less digits than its factorization.

66165253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its digits is 32400, while the sum is 34.

The square root of 66165253 is about 8134.2026652893. The cubic root of 66165253 is about 404.4610073326.

The spelling of 66165253 in words is "sixty-six million, one hundred sixty-five thousand, two hundred fifty-three".

Divisors: 1 7 11 31 53 77 217 341 371 523 583 1643 2387 3661 4081 5753 11501 16213 18073 27719 40271 113491 126511 178343 194033 304909 859289 1248401 2134363 6015023 9452179 66165253