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66211201 = 721351249
BaseRepresentation
bin1111110010010…
…0110110000001
311121120212200201
43330210312001
5113422224301
610323045201
71432533400
oct374446601
9147525621
1066211201
1134413501
121a210801
1310943134
148b17637
155c2d201
hex3f24d81

66211201 has 6 divisors (see below), whose sum is σ = 77021250. Its totient is φ = 56752416.

The previous prime is 66211183. The next prime is 66211207. The reversal of 66211201 is 10211266.

66211201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 14025025 = 7224^2 + 3745^2 .

It is not a de Polignac number, because 66211201 - 29 = 66210689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66211207) 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 5 ways as a sum of consecutive naturals, for example, 675576 + ... + 675673.

It is an arithmetic number, because the mean of its divisors is an integer number (12836875).

Almost surely, 266211201 is an apocalyptic number.

It is an amenable number.

66211201 is a deficient number, since it is larger than the sum of its proper divisors (10810049).

66211201 is a wasteful number, since it uses less digits than its factorization.

66211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351263 (or 1351256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 66211201 is about 8137.0265453666. The cubic root of 66211201 is about 404.5546107135.

Adding to 66211201 its reverse (10211266), we get a palindrome (76422467).

The spelling of 66211201 in words is "sixty-six million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 49 1351249 9458743 66211201