Search a number
-
+
66331153 = 7241137241
BaseRepresentation
bin1111110100001…
…0001000010001
311121210222020101
43331002020101
5113440044103
610325412401
71433543200
oct375021021
9147728211
1066331153
1134495639
121a26a101
1310985905
148b49237
155c53a1d
hex3f42211

66331153 has 24 divisors (see below), whose sum is σ = 79950024. Its totient is φ = 54835200.

The previous prime is 66331151. The next prime is 66331159. The reversal of 66331153 is 35113366.

It can be written as a sum of positive squares in 4 ways, for example, as 5303809 + 61027344 = 2303^2 + 7812^2 .

It is not a de Polignac number, because 66331153 - 21 = 66331151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66331151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275113 + ... + 275353.

It is an arithmetic number, because the mean of its divisors is an integer number (3331251).

Almost surely, 266331153 is an apocalyptic number.

It is an amenable number.

66331153 is a deficient number, since it is larger than the sum of its proper divisors (13618871).

66331153 is a wasteful number, since it uses less digits than its factorization.

66331153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its digits is 4860, while the sum is 28.

The square root of 66331153 is about 8144.3939614928. The cubic root of 66331153 is about 404.7987680894.

The spelling of 66331153 in words is "sixty-six million, three hundred thirty-one thousand, one hundred fifty-three".

Divisors: 1 7 41 49 137 241 287 959 1687 2009 5617 6713 9881 11809 33017 39319 69167 231119 275233 484169 1353697 1617833 9475879 66331153