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666930816 = 27322325171
BaseRepresentation
bin100111110000001…
…000111010000000
31201110221121002100
4213300020322000
52331213241231
6150102350400
722345550466
oct4760107200
91643847070
10666930816
11312512aa2
1216742b400
13a8231426
146480a836
153d83e1e6
hex27c08e80

666930816 has 96 divisors (see below), whose sum is σ = 2002684320. Its totient is φ = 212636160.

The previous prime is 666930773. The next prime is 666930827. The reversal of 666930816 is 618039666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13911 + ... + 39081.

It is an arithmetic number, because the mean of its divisors is an integer number (20861295).

Almost surely, 2666930816 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 666930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001342160).

666930816 is an abundant number, since it is smaller than the sum of its proper divisors (1335753504).

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

666930816 is a wasteful number, since it uses less digits than its factorization.

666930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25214 (or 25199 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 666930816 is about 25825.0036979668. The cubic root of 666930816 is about 873.6958273498.

The spelling of 666930816 in words is "six hundred sixty-six million, nine hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 25171 26496 50342 75513 100684 151026 201368 226539 302052 402736 453078 578933 604104 805472 906156 1157866 1208208 1610944 1736799 1812312 2315732 2416416 3221888 3473598 3624624 4631464 4832832 5210397 6947196 7249248 9262928 9665664 10420794 13894392 14498496 18525856 20841588 27788784 28996992 37051712 41683176 55577568 74103424 83366352 111155136 166732704 222310272 333465408 666930816