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66404664 = 23332910601
BaseRepresentation
bin1111110101010…
…0000100111000
311121221201002000
43331110010320
5113444422124
610331141000
71434300414
oct375240470
9147851060
1066404664
1134535897
121a2a4760
13109b0201
148b67d44
155c6a6c9
hex3f54138

66404664 has 64 divisors (see below), whose sum is σ = 190836000. Its totient is φ = 21369600.

The previous prime is 66404659. The next prime is 66404687. The reversal of 66404664 is 46640466.

It is a happy number.

66404664 is a `hidden beast` number, since 6 + 640 + 4 + 6 + 6 + 4 = 666.

66404664 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 (36).

It is a congruent number.

It is an unprimeable number.

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, 964 + ... + 11564.

Almost surely, 266404664 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 66404664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418000).

66404664 is an abundant number, since it is smaller than the sum of its proper divisors (124431336).

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

66404664 is a wasteful number, since it uses less digits than its factorization.

66404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 66404664 is about 8148.9056934045. The cubic root of 66404664 is about 404.9482512756.

The spelling of 66404664 in words is "sixty-six million, four hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 10601 21202 31803 42404 63606 84808 95409 127212 190818 254424 286227 307429 381636 572454 614858 763272 922287 1144908 1229716 1844574 2289816 2459432 2766861 3689148 5533722 7378296 8300583 11067444 16601166 22134888 33202332 66404664