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66568882131 = 36601151939
BaseRepresentation
bin111101111111110100…
…001000011111010011
320100211022002121000000
4331333310020133103
52042313113212011
650325322101043
74544432106363
oct757764103723
9210738077000
1066568882131
1126260442474
1210a9994a783
13637b647aab
1433170689a3
151ae92ad356
hexf7fd087d3

66568882131 has 28 divisors (see below), whose sum is σ = 99974392840. Its totient is φ = 44305120800.

The previous prime is 66568882117. The next prime is 66568882141. The reversal of 66568882131 is 13128886566.

66568882131 is a `hidden beast` number, since 66 + 568 + 8 + 8 + 2 + 13 + 1 = 666.

It is not a de Polignac number, because 66568882131 - 210 = 66568881107 is a prime.

It is a super-2 number, since 2×665688821312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66568882141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 362160 + ... + 514098.

It is an arithmetic number, because the mean of its divisors is an integer number (3570514030).

Almost surely, 266568882131 is an apocalyptic number.

66568882131 is a deficient number, since it is larger than the sum of its proper divisors (33405510709).

66568882131 is an equidigital number, since it uses as much as digits as its factorization.

66568882131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152558 (or 152543 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 66568882131 in words is "sixty-six billion, five hundred sixty-eight million, eight hundred eighty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 243 601 729 1803 5409 16227 48681 146043 151939 438129 455817 1367451 4102353 12307059 36921177 91315339 110763531 273946017 821838051 2465514153 7396542459 22189627377 66568882131