Search a number
-
+
217104320655 = 3454711405533
BaseRepresentation
bin1100101000110001101…
…1010000100010001111
3202202101101002012110000
43022030123100202033
512024112201230110
6243423015015343
721454022164035
oct3121433204217
9682341065400
10217104320655
11840898024a2
12360ab96a553
131761bb09881
14a717998555
1559a9da61c0
hex328c6d088f

217104320655 has 40 divisors (see below), whose sum is σ = 397460048832. Its totient is φ = 113325365952.

The previous prime is 217104320599. The next prime is 217104320659. The reversal of 217104320655 is 556023401712.

217104320655 is a `hidden beast` number, since 2 + 171 + 0 + 432 + 0 + 6 + 55 = 666.

It is not a de Polignac number, because 217104320655 - 216 = 217104255119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217104320659) 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 39 ways as a sum of consecutive naturals, for example, 5683732 + ... + 5721801.

Almost surely, 2217104320655 is an apocalyptic number.

217104320655 is a deficient number, since it is larger than the sum of its proper divisors (180355728177).

217104320655 is a wasteful number, since it uses less digits than its factorization.

217104320655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405597 (or 11405588 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 217104320655 in words is "two hundred seventeen billion, one hundred four million, three hundred twenty thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 47 81 135 141 235 405 423 705 1269 2115 3807 6345 19035 11405533 34216599 57027665 102649797 171082995 307949391 513248985 536060051 923848173 1539746955 1608180153 2680300255 4619240865 4824540459 8040900765 14473621377 24122702295 43420864131 72368106885 217104320655