Search a number
-
+
66273669 = 3271195633
BaseRepresentation
bin1111110011010…
…0000110000101
311121201001101100
43330310012011
5113431224134
610324250313
71433213460
oct374640605
9147631340
1066273669
1134456430
121a240999
13109656b7
148b322d7
155c41999
hex3f34185

66273669 has 24 divisors (see below), whose sum is σ = 119351232. Its totient is φ = 34427520.

The previous prime is 66273661. The next prime is 66273673. The reversal of 66273669 is 96637266.

66273669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66273669 - 23 = 66273661 is a prime.

It is a super-2 number, since 2×662736692 = 8784398405443122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66273661) 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 23 ways as a sum of consecutive naturals, for example, 47124 + ... + 48509.

It is an arithmetic number, because the mean of its divisors is an integer number (4972968).

Almost surely, 266273669 is an apocalyptic number.

It is an amenable number.

66273669 is a deficient number, since it is larger than the sum of its proper divisors (53077563).

66273669 is a wasteful number, since it uses less digits than its factorization.

66273669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95657 (or 95654 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 66273669 is about 8140.8641433204. The cubic root of 66273669 is about 404.6817985283.

It can be divided in two parts, 6627 and 3669, that added together give a triangular number (10296 = T143).

The spelling of 66273669 in words is "sixty-six million, two hundred seventy-three thousand, six hundred sixty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 95633 286899 669431 860697 1051963 2008293 3155889 6024879 7363741 9467667 22091223 66273669