Search a number
-
+
159238508209 = 112362772
BaseRepresentation
bin1001010001001101011…
…0101100111010110001
3120020000121100100122021
42110103112230322301
510102110024230314
6201053025511441
714335035662344
oct2242326547261
9506017310567
10159238508209
1161594a94100
1226a407a2581
131202957a571
1479c873045b
15421ebc0324
hex25135aceb1

159238508209 has 9 divisors (see below), whose sum is σ = 175035581931. Its totient is φ = 144758289720.

The previous prime is 159238508183. The next prime is 159238508227. The reversal of 159238508209 is 902805832951.

The square root of 159238508209 is 399047.

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

159238508209 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., 131091064225 + 28147443984 = 362065^2 + 167772^2 .

It is not a de Polignac number, because 159238508209 - 219 = 159237983921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159238508239) 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 8 ways as a sum of consecutive naturals, for example, 4371379 + ... + 4407655.

Almost surely, 2159238508209 is an apocalyptic number.

159238508209 is the 399047-th square number.

159238508209 is the 199524-th centered octagonal number.

It is an amenable number.

159238508209 is a deficient number, since it is larger than the sum of its proper divisors (15797073722).

159238508209 is an frugal number, since it uses more digits than its factorization.

159238508209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72576 (or 36288 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 159238508209 in words is "one hundred fifty-nine billion, two hundred thirty-eight million, five hundred eight thousand, two hundred nine".

Divisors: 1 11 121 36277 399047 4389517 1316020729 14476228019 159238508209