Search a number
-
+
217628328171 = 3176169954461
BaseRepresentation
bin1100101010101110101…
…0001100000011101011
3202210201220002112121210
43022223222030003223
512031200323000141
6243551014204203
721503014160532
oct3125352140353
9683656075553
10217628328171
1184328577061
1236217353663
13176a35491a7
14a7673dd319
1559dadb2916
hex32aba8c0eb

217628328171 has 16 divisors (see below), whose sum is σ = 312276718368. Its totient is φ = 134312563200.

The previous prime is 217628328157. The next prime is 217628328227. The reversal of 217628328171 is 171823826712.

217628328171 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217628328171 - 221 = 217626231019 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217628328171.

It is not an unprimeable number, because it can be changed into a prime (217628328271) 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 15 ways as a sum of consecutive naturals, for example, 34974120 + ... + 34980341.

It is an arithmetic number, because the mean of its divisors is an integer number (19517294898).

Almost surely, 2217628328171 is an apocalyptic number.

217628328171 is a deficient number, since it is larger than the sum of its proper divisors (94648390197).

217628328171 is a wasteful number, since it uses less digits than its factorization.

217628328171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69954542.

The product of its digits is 451584, while the sum is 48.

The spelling of 217628328171 in words is "two hundred seventeen billion, six hundred twenty-eight million, three hundred twenty-eight thousand, one hundred seventy-one".

Divisors: 1 3 17 51 61 183 1037 3111 69954461 209863383 1189225837 3567677511 4267222121 12801666363 72542776057 217628328171