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66052053 = 3229972609
BaseRepresentation
bin1111101111110…
…1111111010101
311121021210101100
43323331333111
5113402131203
610315420313
71431301404
oct373757725
9147253340
1066052053
1134314981
121a154699
13108b8872
148ab563b
155beaea3
hex3efdfd5

66052053 has 24 divisors (see below), whose sum is σ = 99754200. Its totient is φ = 42061824.

The previous prime is 66052033. The next prime is 66052057. The reversal of 66052053 is 35025066.

66052053 is a `hidden beast` number, since 6 + 605 + 2 + 0 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8625969 + 57426084 = 2937^2 + 7578^2 .

It is not a de Polignac number, because 66052053 - 224 = 49274837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66052057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24013 + ... + 26621.

It is an arithmetic number, because the mean of its divisors is an integer number (4156425).

Almost surely, 266052053 is an apocalyptic number.

It is an amenable number.

66052053 is a deficient number, since it is larger than the sum of its proper divisors (33702147).

66052053 is a wasteful number, since it uses less digits than its factorization.

66052053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 66052053 is about 8127.2414139116. The cubic root of 66052053 is about 404.2302158950.

The spelling of 66052053 in words is "sixty-six million, fifty-two thousand, fifty-three".

Divisors: 1 3 9 29 87 97 261 291 873 2609 2813 7827 8439 23481 25317 75661 226983 253073 680949 759219 2277657 7339117 22017351 66052053