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66632718084 = 223171817872293
BaseRepresentation
bin111110000011100111…
…101001011100000100
320100222202012210110120
4332003213221130010
52042430433434314
650335522221540
74546135521132
oct760347513404
9210882183416
1066632718084
1126293483359
1210ab71b48b0
13638b938a4a
143321724752
151aeebbc8a9
hexf839e9704

66632718084 has 96 divisors (see below), whose sum is σ = 165814137216. Its totient is φ = 20753418240.

The previous prime is 66632718083. The next prime is 66632718091. The reversal of 66632718084 is 48081723666.

66632718084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (66632718083) 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, 29058042 + ... + 29060334.

It is an arithmetic number, because the mean of its divisors is an integer number (1727230596).

Almost surely, 266632718084 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 66632718084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907068608).

66632718084 is an abundant number, since it is smaller than the sum of its proper divisors (99181419132).

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

66632718084 is a wasteful number, since it uses less digits than its factorization.

66632718084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 66632718084 in words is "sixty-six billion, six hundred thirty-two million, seven hundred eighteen thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 362 543 724 787 1086 1574 2172 2293 2361 3077 3148 4586 4722 6154 6879 9172 9231 9444 12308 13379 13758 18462 26758 27516 36924 38981 40137 53516 77962 80274 116943 142447 155924 160548 233886 284894 415033 427341 467772 569788 830066 854682 1245099 1660132 1709364 1804591 2421599 2490198 3609182 4843198 4980396 5413773 7055561 7218364 7264797 9686396 10827546 14111122 14529594 21166683 21655092 28222244 29059188 30678047 42333366 61356094 84666732 92034141 122712188 184068282 326630971 368136564 653261942 979892913 1306523884 1959785826 3919571652 5552726507 11105453014 16658179521 22210906028 33316359042 66632718084