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217028638401 = 3151479091917
BaseRepresentation
bin1100101000011111101…
…0100011011011000001
3202202012002200010220120
43022013322203123001
512023433312412101
6243411312530453
721452112663051
oct3120772433301
9682162603816
10217028638401
1184050010283
123608a550a29
131760922b883
14a70b8d7561
1559a3406b36
hex3287ea36c1

217028638401 has 8 divisors (see below), whose sum is σ = 291287886144. Its totient is φ = 143727574800.

The previous prime is 217028638361. The next prime is 217028638439. The reversal of 217028638401 is 104836820712.

217028638401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 217028638401 - 213 = 217028630209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (217028638201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239545506 + ... + 239546411.

It is an arithmetic number, because the mean of its divisors is an integer number (36410985768).

Almost surely, 2217028638401 is an apocalyptic number.

It is an amenable number.

217028638401 is a deficient number, since it is larger than the sum of its proper divisors (74259247743).

217028638401 is a wasteful number, since it uses less digits than its factorization.

217028638401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479092071.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 217028638401 in words is "two hundred seventeen billion, twenty-eight million, six hundred thirty-eight thousand, four hundred one".

Divisors: 1 3 151 453 479091917 1437275751 72342879467 217028638401