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214164056316665 = 57132359100854989
BaseRepresentation
bin110000101100011111110100…
…100000000001101011111001
31001002021212212022110101201102
4300230133310200001223321
5211032330441404113130
62035253335332501145
763052561651451450
oct6054376440015371
91032255768411642
10214164056316665
116226a5145aa914
122002a51917a7b5
13926677895b700
143ac584a5b9b97
1519b5d72ac6645
hexc2c7f4801af9

214164056316665 has 48 divisors (see below), whose sum is σ = 318927683577600. Its totient is φ = 135181184875776.

The previous prime is 214164056316643. The next prime is 214164056316673. The reversal of 214164056316665 is 566613650461412.

It is not a de Polignac number, because 214164056316665 - 26 = 214164056316601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214164056316665.

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 47 ways as a sum of consecutive naturals, for example, 48304010 + ... + 52550979.

It is an arithmetic number, because the mean of its divisors is an integer number (6644326741200).

Almost surely, 2214164056316665 is an apocalyptic number.

It is an amenable number.

214164056316665 is a deficient number, since it is larger than the sum of its proper divisors (104763627260935).

214164056316665 is a wasteful number, since it uses less digits than its factorization.

214164056316665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100855386 (or 100855373 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 214164056316665 in words is "two hundred fourteen trillion, one hundred sixty-four billion, fifty-six million, three hundred sixteen thousand, six hundred sixty-five".

Divisors: 1 5 7 13 35 65 91 169 359 455 845 1183 1795 2513 4667 5915 12565 23335 32669 60671 163345 303355 424697 2123485 100854989 504274945 705984923 1311114857 3529924615 6555574285 9177803999 17044493141 36206941051 45889019995 85222465705 119311451987 181034705255 253448587357 470690233663 596557259935 1267242936785 2353451168315 3294831635641 6118973037619 16474158178205 30594865188095 42832811263333 214164056316665