Search a number
-
+
16171445889 = 32192232972
BaseRepresentation
bin11110000111110010…
…01010111010000001
31112202000102120100100
433003321022322001
5231104342232024
611232402113013
71111513010364
oct170371127201
945660376310
1016171445889
1169493a5715
12317394b769
1316a94536c1
14ad5a400db
15649aae7c9
hex3c3e4ae81

16171445889 has 81 divisors (see below), whose sum is σ = 26039758563. Its totient is φ = 9668761344.

The previous prime is 16171445881. The next prime is 16171445893. The reversal of 16171445889 is 98854417161.

The square root of 16171445889 is 127167.

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

16171445889 is a `hidden beast` number, since 1 + 6 + 17 + 1 + 44 + 588 + 9 = 666.

16171445889 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., 7261596225 + 8909849664 = 85215^2 + 94392^2 .

It is not a de Polignac number, because 16171445889 - 23 = 16171445881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16171445881) 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 80 ways as a sum of consecutive naturals, for example, 166715889 + ... + 166715985.

Almost surely, 216171445889 is an apocalyptic number.

16171445889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16171445889 is the 127167-th square number.

16171445889 is the 63584-th centered octagonal number.

It is an amenable number.

16171445889 is a deficient number, since it is larger than the sum of its proper divisors (9868312674).

16171445889 is an equidigital number, since it uses as much as digits as its factorization.

16171445889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 16171445889 in words is "sixteen billion, one hundred seventy-one million, four hundred forty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 19 23 57 69 97 171 207 291 361 437 529 873 1083 1311 1587 1843 2231 3249 3933 4761 5529 6693 8303 9409 10051 16587 20079 24909 28227 30153 35017 42389 51313 74727 84681 90459 105051 127167 153939 178771 190969 216407 315153 381501 461817 536313 572907 649221 805391 974947 1608939 1718721 1947663 2416173 2924841 3396649 4111733 4977361 7248519 8774523 10189947 12335199 14932083 18523993 30569841 37005597 44796249 55571979 78122927 94569859 166715937 234368781 283709577 703106343 851128731 1796827321 5390481963 16171445889