Search a number
-
+
66543345 = 325114101
BaseRepresentation
bin1111110111010…
…1111011110001
311122012202022100
43331311323301
5114013341340
610334131013
71435415631
oct375657361
9148182270
1066543345
1134620000
121a350a69
1310a2b37b
148ba26c1
155c96830
hex3f75ef1

66543345 has 60 divisors (see below), whose sum is σ = 128131380. Its totient is φ = 31944000.

The previous prime is 66543311. The next prime is 66543349. The reversal of 66543345 is 54334566.

It can be written as a sum of positive squares in 2 ways, for example, as 47568609 + 18974736 = 6897^2 + 4356^2 .

It is not a de Polignac number, because 66543345 - 210 = 66542321 is a prime.

Its product of digits (129600) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66543349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 658795 + ... + 658895.

It is an arithmetic number, because the mean of its divisors is an integer number (2135523).

Almost surely, 266543345 is an apocalyptic number.

It is an amenable number.

66543345 is a deficient number, since it is larger than the sum of its proper divisors (61588035).

66543345 is a wasteful number, since it uses less digits than its factorization.

66543345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 66543345 is about 8157.4104346907. The cubic root of 66543345 is about 405.2299562847.

It can be divided in two parts, 6654 and 3345, that added together give a palindrome (9999).

The spelling of 66543345 in words is "sixty-six million, five hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 121 165 303 363 495 505 605 909 1089 1111 1331 1515 1815 3333 3993 4545 5445 5555 6655 9999 11979 12221 14641 16665 19965 36663 43923 49995 59895 61105 73205 109989 131769 134431 183315 219615 403293 549945 658845 672155 1209879 1478741 2016465 4436223 6049395 7393705 13308669 22181115 66543345