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66685668 = 223721947127
BaseRepresentation
bin1111111001100…
…0101011100100
311122110222112120
43332120223210
5114032420133
610341145540
71436550600
oct376305344
9148428476
1066685668
1134707a25
121a3bb2b0
1310a7b09a
148bdc500
155cc3ab3
hex3f98ae4

66685668 has 144 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 17527104.

The previous prime is 66685637. The next prime is 66685693. The reversal of 66685668 is 86658666.

It is a self number, because there is not a number n which added to its sum of digits gives 66685668.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525021 + ... + 525147.

It is an arithmetic number, because the mean of its divisors is an integer number (1361920).

Almost surely, 266685668 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 66685668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

66685668 is an abundant number, since it is smaller than the sum of its proper divisors (129430812).

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

66685668 is a wasteful number, since it uses less digits than its factorization.

66685668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 66685668 is about 8166.1293156550. The cubic root of 66685668 is about 405.5186526947.

The spelling of 66685668 in words is "sixty-six million, six hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 49 57 76 84 94 98 114 127 133 141 147 188 196 228 254 266 282 294 329 381 399 508 532 564 588 658 762 798 889 893 931 987 1316 1524 1596 1778 1786 1862 1974 2303 2413 2667 2679 2793 3556 3572 3724 3948 4606 4826 5334 5358 5586 5969 6223 6251 6909 7239 9212 9652 10668 10716 11172 11938 12446 12502 13818 14478 16891 17907 18669 18753 23876 24892 25004 27636 28956 33782 35814 37338 37506 41783 43757 50673 67564 71628 74676 75012 83566 87514 101346 113411 118237 125349 131271 167132 175028 202692 226822 236474 250698 262542 292481 340233 354711 453644 472948 501396 525084 584962 680466 709422 793877 877443 1169924 1360932 1418844 1587754 1754886 2381631 3175508 3509772 4763262 5557139 9526524 11114278 16671417 22228556 33342834 66685668