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66666384 = 243217113241
BaseRepresentation
bin1111111001001…
…1111110010000
311122110000002100
43332103332100
5114031311014
610340520400
71436440431
oct376237620
9148400070
1066666384
11346a4494
121a3b0100
1310a72385
148bd5488
155cbd009
hex3f93f90

66666384 has 120 divisors (see below), whose sum is σ = 200123352. Its totient is φ = 20643840.

The previous prime is 66666371. The next prime is 66666409. The reversal of 66666384 is 48366666.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 58982400 = 2772^2 + 7680^2 .

It is a super-3 number, since 3×666663843 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276504 + ... + 276744.

Almost surely, 266666384 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 66666384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100061676).

66666384 is an abundant number, since it is smaller than the sum of its proper divisors (133456968).

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

66666384 is a wasteful number, since it uses less digits than its factorization.

66666384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 66666384 is about 8164.9484995314. The cubic root of 66666384 is about 405.4795599588.

The spelling of 66666384 in words is "sixty-six million, six hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 113 136 144 153 204 226 241 272 306 339 408 452 482 612 678 723 816 904 964 1017 1224 1356 1446 1808 1921 1928 2034 2169 2448 2712 2892 3842 3856 4068 4097 4338 5424 5763 5784 7684 8136 8194 8676 11526 11568 12291 15368 16272 16388 17289 17352 23052 24582 27233 30736 32776 34578 34704 36873 46104 49164 54466 65552 69156 73746 81699 92208 98328 108932 138312 147492 163398 196656 217864 245097 276624 294984 326796 435728 462961 490194 589968 653592 925922 980388 1307184 1388883 1851844 1960776 2777766 3703688 3921552 4166649 5555532 7407376 8333298 11111064 16666596 22222128 33333192 66666384