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666806712 = 2331113972003
BaseRepresentation
bin100111101111101…
…010100110111000
31201110201021211220
4213233222212320
52331200303322
6150055552040
722344522615
oct4757524670
91643637756
10666806712
11312438830
1216738b620
13a81b9ab0
14647b750c
153d81755c
hex27bea9b8

666806712 has 128 divisors (see below), whose sum is σ = 1979631360. Its totient is φ = 184504320.

The previous prime is 666806687. The next prime is 666806717. The reversal of 666806712 is 217608666.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666806717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331903 + ... + 333905.

It is an arithmetic number, because the mean of its divisors is an integer number (15465870).

Almost surely, 2666806712 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 666806712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989815680).

666806712 is an abundant number, since it is smaller than the sum of its proper divisors (1312824648).

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

666806712 is a wasteful number, since it uses less digits than its factorization.

666806712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 666806712 is about 25822.6007985253. The cubic root of 666806712 is about 873.6416308872.

The spelling of 666806712 in words is "six hundred sixty-six million, eight hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 97 104 132 143 156 194 264 286 291 312 388 429 572 582 776 858 1067 1144 1164 1261 1716 2003 2134 2328 2522 3201 3432 3783 4006 4268 5044 6009 6402 7566 8012 8536 10088 12018 12804 13871 15132 16024 22033 24036 25608 26039 27742 30264 41613 44066 48072 52078 55484 66099 78117 83226 88132 104156 110968 132198 156234 166452 176264 194291 208312 264396 286429 312468 332904 388582 528792 572858 582873 624936 777164 859287 1145716 1165746 1554328 1718574 2137201 2291432 2331492 2525783 3437148 4274402 4662984 5051566 6411603 6874296 7577349 8548804 10103132 12823206 15154698 17097608 20206264 25646412 27783613 30309396 51292824 55567226 60618792 83350839 111134452 166701678 222268904 333403356 666806712