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666666672 = 24371092167
BaseRepresentation
bin100111101111001…
…000011010110000
31201110110011202020
4213233020122300
52331131313142
6150052551440
722343400420
oct4757103260
91643404666
10666666672
113123525a1
12167322580
13a816b129
146477c480
153d7dacec
hex27bc86b0

666666672 has 120 divisors (see below), whose sum is σ = 1998372096. Its totient is φ = 187598592.

The previous prime is 666666667. The next prime is 666666691. The reversal of 666666672 is 276666666.

666666672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (3919104) is a multiple of the sum of its prime divisors (288).

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, 3991933 + ... + 3992099.

Almost surely, 2666666672 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 666666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999186048).

666666672 is an abundant number, since it is smaller than the sum of its proper divisors (1331705424).

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

666666672 is a wasteful number, since it uses less digits than its factorization.

666666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 288 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 51.

The square root of 666666672 is about 25819.8890779957. The cubic root of 666666672 is about 873.5804670658.

The spelling of 666666672 in words is "six hundred sixty-six million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 167 168 218 327 334 336 436 501 654 668 763 872 1002 1169 1308 1336 1526 1744 2004 2289 2338 2616 2672 3052 3507 4008 4578 4676 5232 6104 7014 8016 9156 9352 11881 12208 14028 18203 18312 18704 23762 28056 35643 36406 36624 47524 54609 56112 71286 72812 83167 95048 109218 127421 142572 145624 166334 190096 218436 249501 254842 285144 291248 332668 382263 436872 499002 509684 570288 665336 764526 873744 998004 1019368 1330672 1529052 1984127 1996008 2038736 3058104 3968254 3992016 5952381 6116208 7936508 11904762 13888889 15873016 23809524 27777778 31746032 41666667 47619048 55555556 83333334 95238096 111111112 166666668 222222224 333333336 666666672