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66872988 = 2232713137149
BaseRepresentation
bin1111111100011…
…0011010011100
311122211111111100
43333012122130
5114104413423
610345153100
71441260660
oct377063234
9148744440
1066872988
1134825736
121a48b790
1310b15420
148c4a8a0
155d0e343
hex3fc669c

66872988 has 144 divisors (see below), whose sum is σ = 210974400. Its totient is φ = 17390592.

The previous prime is 66872987. The next prime is 66873013. The reversal of 66872988 is 88927866.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66872987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448738 + ... + 448886.

It is an arithmetic number, because the mean of its divisors is an integer number (1465100).

Almost surely, 266872988 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 66872988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105487200).

66872988 is an abundant number, since it is smaller than the sum of its proper divisors (144101412).

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

66872988 is a wasteful number, since it uses less digits than its factorization.

66872988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 66872988 is about 8177.5905987033. The cubic root of 66872988 is about 405.8979982701.

The spelling of 66872988 in words is "sixty-six million, eight hundred seventy-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 137 149 156 182 234 252 273 274 298 364 411 447 468 546 548 596 819 822 894 959 1043 1092 1233 1341 1638 1644 1781 1788 1918 1937 2086 2466 2682 2877 3129 3276 3562 3836 3874 4172 4932 5343 5364 5754 5811 6258 7124 7748 8631 9387 10686 11508 11622 12467 12516 13559 16029 17262 17433 18774 20413 21372 23244 24934 27118 32058 34524 34866 37401 37548 40677 40826 49868 54236 61239 64116 69732 74802 81354 81652 112203 122031 122478 142891 149604 162708 183717 224406 244062 244956 265369 285782 367434 428673 448812 488124 530738 571564 734868 796107 857346 1061476 1286019 1592214 1714692 1857583 2388321 2572038 3184428 3715166 4776642 5144076 5572749 7430332 9553284 11145498 16718247 22290996 33436494 66872988