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66414041466 = 2353208849187
BaseRepresentation
bin111101110110100101…
…011101100101111010
320100102111201212112120
4331312211131211322
52042003443311331
650302111222110
74540542016023
oct756645354572
9210374655476
1066414041466
1126190aa4383
1210a55b17936
1363555427b6
14330067dc4a
151ada8c4796
hexf7695d97a

66414041466 has 16 divisors (see below), whose sum is σ = 135334273824. Its totient is φ = 21720315344.

The previous prime is 66414041461. The next prime is 66414041471.

66414041466 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66414041461) and next prime (66414041471).

It is not an unprimeable number, because it can be changed into a prime (66414041461) 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 7 ways as a sum of consecutive naturals, for example, 104424276 + ... + 104424911.

It is an arithmetic number, because the mean of its divisors is an integer number (8458392114).

Almost surely, 266414041466 is an apocalyptic number.

66414041466 is an abundant number, since it is smaller than the sum of its proper divisors (68920232358).

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

66414041466 is a wasteful number, since it uses less digits than its factorization.

66414041466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208849245.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 66414041466 in words is "sixty-six billion, four hundred fourteen million, forty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 53 106 159 318 208849187 417698374 626547561 1253095122 11069006911 22138013822 33207020733 66414041466