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66666864 = 24311314073
BaseRepresentation
bin1111111001010…
…0000101110000
311122110000202010
43332110011300
5114031314424
610340522520
71436442015
oct376240560
9148400663
1066666864
11346a4890
121a3b0440
1310a72664
148bd570c
155cbd229
hex3f94170

66666864 has 80 divisors (see below), whose sum is σ = 193987584. Its totient is φ = 19545600.

The previous prime is 66666863. The next prime is 66666869. The reversal of 66666864 is 46866666.

66666864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66666863) 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 15 ways as a sum of consecutive naturals, for example, 14332 + ... + 18404.

Almost surely, 266666864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96993792).

66666864 is an abundant number, since it is smaller than the sum of its proper divisors (127320720).

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

66666864 is a wasteful number, since it uses less digits than its factorization.

66666864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 66666864 is about 8164.9778934177. The cubic root of 66666864 is about 405.4805331116.

It can be divided in two parts, 6666 and 6864, that added together give a triangular number (13530 = T164).

The spelling of 66666864 in words is "sixty-six million, six hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4073 4092 5456 8146 8184 12219 16292 16368 24438 32584 44803 48876 65168 89606 97752 126263 134409 179212 195504 252526 268818 358424 378789 505052 537636 716848 757578 1010104 1075272 1388893 1515156 2020208 2150544 2777786 3030312 4166679 5555572 6060624 8333358 11111144 16666716 22222288 33333432 66666864