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66487411478466 = 23211335795007467
BaseRepresentation
bin11110001111000010011101…
…00010110000111111000010
322201102010122000121121222200
433013201032202300333002
532203312204314302331
6353223521205014030
720001362015601306
oct1707411642607702
9281363560547880
1066487411478466
111a204175502450
1275598576b4316
132b13974cb7434
14125c0178d1d06
157a47543eb5e6
hex3c784e8b0fc2

66487411478466 has 24 divisors (see below), whose sum is σ = 157152063495024. Its totient is φ = 20147700447960.

The previous prime is 66487411478459. The next prime is 66487411478471.

66487411478466 is a `hidden beast` number, since 6 + 6 + 4 + 87 + 4 + 1 + 14 + 78 + 466 = 666.

66487411478466 is nontrivially palindromic in base 10.

66487411478466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66487411478394 and 66487411478403.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 167897503536 + ... + 167897503931.

It is an arithmetic number, because the mean of its divisors is an integer number (6548002645626).

Almost surely, 266487411478466 is an apocalyptic number.

66487411478466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66487411478466 is an abundant number, since it is smaller than the sum of its proper divisors (90664652016558).

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

66487411478466 is a wasteful number, since it uses less digits than its factorization.

66487411478466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335795007486 (or 335795007483 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 66487411478466 in words is "sixty-six trillion, four hundred eighty-seven billion, four hundred eleven million, four hundred seventy-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 335795007467 671590014934 1007385022401 2014770044802 3022155067203 3693745082137 6044310134406 7387490164274 11081235246411 22162470492822 33243705739233 66487411478466