Search a number
-
+
66364155 = 325111310313
BaseRepresentation
bin1111110100101…
…0001011111011
311121212122111200
43331022023323
5113442123110
610330225243
71434041334
oct375121373
9147778450
1066364155
1134508410
121a285223
1310997940
148b5728b
155c5d6c0
hex3f4a2fb

66364155 has 48 divisors (see below), whose sum is σ = 135154656. Its totient is φ = 29698560.

The previous prime is 66364147. The next prime is 66364159. The reversal of 66364155 is 55146366.

66364155 is a `hidden beast` number, since 6 + 6 + 3 + 641 + 5 + 5 = 666.

It is not a de Polignac number, because 66364155 - 23 = 66364147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66364159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (2815722).

Almost surely, 266364155 is an apocalyptic number.

66364155 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66364155 is an abundant number, since it is smaller than the sum of its proper divisors (68790501).

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

66364155 is a wasteful number, since it uses less digits than its factorization.

66364155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10345 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 66364155 is about 8146.4197657621. The cubic root of 66364155 is about 404.8658906676.

The spelling of 66364155 in words is "sixty-six million, three hundred sixty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 10313 30939 51565 92817 113443 134069 154695 340329 402207 464085 567215 670345 1020987 1206621 1474759 1701645 2011035 4424277 5104935 6033105 7373795 13272831 22121385 66364155