Search a number
-
+
59164238169 = 328929112
BaseRepresentation
bin110111000110011101…
…101010000101011001
312122201020221201001100
4313012131222011121
51432132021110134
643102450542013
74163100504201
oct670635520531
9178636851040
1059164238169
1123100740903
12b571b97909
13576b56586a
142c13899401
1518141b4999
hexdc676a159

59164238169 has 27 divisors (see below), whose sum is σ = 86525441119. Its totient is φ = 38956837920.

The previous prime is 59164238143. The next prime is 59164238173. The reversal of 59164238169 is 96183246195.

The square root of 59164238169 is 243237.

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

59164238169 is a `hidden beast` number, since 59 + 1 + 6 + 423 + 8 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11360788569 + 47803449600 = 106587^2 + 218640^2 .

It is not a de Polignac number, because 59164238169 - 225 = 59130683737 is a prime.

It is a super-2 number, since 2×591642381692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59164238129) 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 26 ways as a sum of consecutive naturals, for example, 64943824 + ... + 64944734.

Almost surely, 259164238169 is an apocalyptic number.

59164238169 is the 243237-th square number.

59164238169 is the 121619-th centered octagonal number.

It is an amenable number.

59164238169 is a deficient number, since it is larger than the sum of its proper divisors (27361202950).

59164238169 is an frugal number, since it uses more digits than its factorization.

59164238169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 59164238169 in words is "fifty-nine billion, one hundred sixty-four million, two hundred thirty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 9 89 267 801 911 2733 7921 8199 23763 71289 81079 243237 729711 829921 2489763 7216031 7469289 21648093 64944279 73862969 221588907 664766721 6573804241 19721412723 59164238169