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66535201 = 61217881
BaseRepresentation
bin1111110111001…
…1111100100001
311122012100010201
43331303330201
5114013111301
610334025201
71435353115
oct375637441
9148170121
1066535201
1134614977
121a348201
1310a27755
148b9d745
155c94201
hex3f73f21

66535201 has 6 divisors (see below), whose sum is σ = 67647606. Its totient is φ = 65440800.

The previous prime is 66535177. The next prime is 66535223. The reversal of 66535201 is 10253566.

It can be written as a sum of positive squares in 3 ways, for example, as 4928400 + 61606801 = 2220^2 + 7849^2 .

It is not a de Polignac number, because 66535201 - 213 = 66527009 is a prime.

It is a super-2 number, since 2×665352012 = 8853865944220802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66535201.

It is not an unprimeable number, because it can be changed into a prime (66535241) 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 5 ways as a sum of consecutive naturals, for example, 5220 + ... + 12661.

It is an arithmetic number, because the mean of its divisors is an integer number (11274601).

Almost surely, 266535201 is an apocalyptic number.

66535201 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

66535201 is a deficient number, since it is larger than the sum of its proper divisors (1112405).

66535201 is an equidigital number, since it uses as much as digits as its factorization.

66535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18003 (or 17942 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 66535201 is about 8156.9112413952. The cubic root of 66535201 is about 405.2134240659.

Adding to 66535201 its reverse (10253566), we get a palindrome (76788767).

The spelling of 66535201 in words is "sixty-six million, five hundred thirty-five thousand, two hundred one".

Divisors: 1 61 3721 17881 1090741 66535201