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16189254169 = 1124322692
BaseRepresentation
bin11110001001111010…
…00110101000011001
31112210020221022201021
433010331012220121
5231123422113134
611234235522441
71112120250514
oct170475065031
945706838637
1016189254169
116958459300
1231798b9421
1316b004a34a
14ad8157d7b
1564b42b0b4
hex3c4f46a19

16189254169 has 27 divisors (see below), whose sum is σ = 18286234239. Its totient is φ = 14321796720.

The previous prime is 16189254161. The next prime is 16189254181. The reversal of 16189254169 is 96145298161.

The square root of 16189254169 is 127237.

It is a perfect power (a square), and thus also a powerful number.

16189254169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1065173769 + 15124080400 = 32637^2 + 122980^2 .

It is not a de Polignac number, because 16189254169 - 23 = 16189254161 is a prime.

It is a super-2 number, since 2×161892541692 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16189254161) 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 26 ways as a sum of consecutive naturals, for example, 60182967 + ... + 60183235.

Almost surely, 216189254169 is an apocalyptic number.

16189254169 is the 127237-th square number.

16189254169 is the 63619-th centered octagonal number.

It is an amenable number.

16189254169 is a deficient number, since it is larger than the sum of its proper divisors (2096980070).

16189254169 is an frugal number, since it uses more digits than its factorization.

16189254169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The spelling of 16189254169 in words is "sixteen billion, one hundred eighty-nine million, two hundred fifty-four thousand, one hundred sixty-nine".

Divisors: 1 11 43 121 269 473 1849 2959 5203 11567 20339 32549 72361 127237 223729 497381 795971 1399607 3111523 5471191 8755681 34226753 60183101 133795489 376494283 1471750379 16189254169