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66201012 = 22323175801
BaseRepresentation
bin1111110010001…
…0010110110100
311121120100201100
43330202112310
5113421413022
610322530100
71432461603
oct374422664
9147510640
1066201012
1134406889
121a206930
131093b5c7
148b13a3a
155c2a1ac
hex3f225b4

66201012 has 36 divisors (see below), whose sum is σ = 167898276. Its totient is φ = 21993600.

The previous prime is 66201011. The next prime is 66201017. The reversal of 66201012 is 21010266.

It is a happy number.

66201012 is a `hidden beast` number, since 662 + 0 + 1 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36650916 + 29550096 = 6054^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66201011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8512 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (4663841).

Almost surely, 266201012 is an apocalyptic number.

It is an amenable number.

66201012 is an abundant number, since it is smaller than the sum of its proper divisors (101697264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66201012 is a wasteful number, since it uses less digits than its factorization.

66201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66201012 is about 8136.4004326238. The cubic root of 66201012 is about 404.5338578382.

Adding to 66201012 its reverse (21010266), we get a palindrome (87211278).

The spelling of 66201012 in words is "sixty-six million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 5801 11412 11602 17403 23204 34806 52209 69612 104418 208836 1838917 3677834 5516751 7355668 11033502 16550253 22067004 33100506 66201012