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217106201673 = 3224122911297
BaseRepresentation
bin1100101000110010001…
…0011011110001001001
3202202101111121202201100
43022030202123301021
512024113141423143
6243423123212013
721454044160044
oct3121442336111
9682344552640
10217106201673
118408a877759
12360b0517009
131761c317aba
14a717d27c5b
1559aa1286d3
hex328c89bc49

217106201673 has 6 divisors (see below), whose sum is σ = 313597846874. Its totient is φ = 144737467776.

The previous prime is 217106201647. The next prime is 217106201699. The reversal of 217106201673 is 376102601712.

It is a happy number.

217106201673 is a `hidden beast` number, since 2 + 1 + 7 + 10 + 620 + 16 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (217106201647) and next prime (217106201699).

It can be written as a sum of positive squares in only one way, i.e., 217018085904 + 88115769 = 465852^2 + 9387^2 .

It is not a de Polignac number, because 217106201673 - 225 = 217072647241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (217106201603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12061455640 + ... + 12061455657.

Almost surely, 2217106201673 is an apocalyptic number.

It is an amenable number.

217106201673 is a deficient number, since it is larger than the sum of its proper divisors (96491645201).

217106201673 is a wasteful number, since it uses less digits than its factorization.

217106201673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122911303 (or 24122911300 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 217106201673 in words is "two hundred seventeen billion, one hundred six million, two hundred one thousand, six hundred seventy-three".

Divisors: 1 3 9 24122911297 72368733891 217106201673