Search a number
-
+
32534344206 = 23271346342899
BaseRepresentation
bin11110010011001100…
…101011001000001110
310002222101002221001100
4132103030223020032
51013112243003311
622540203523530
72231142235320
oct362314531016
9102871087040
1032534344206
1112885875381
12637b8295a6
1330b645a960
141808c79610
15ca638aa56
hex79332b20e

32534344206 has 96 divisors (see below), whose sum is σ = 86947660800. Its totient is φ = 8561754432.

The previous prime is 32534344177. The next prime is 32534344207. The reversal of 32534344206 is 60244343523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32534344207) 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 47 ways as a sum of consecutive naturals, for example, 736945 + ... + 779843.

It is an arithmetic number, because the mean of its divisors is an integer number (905704800).

Almost surely, 232534344206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32534344206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43473830400).

32534344206 is an abundant number, since it is smaller than the sum of its proper divisors (54413316594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32534344206 is a wasteful number, since it uses less digits than its factorization.

32534344206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43390 (or 43387 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 32534344206 its reverse (60244343523), we get a palindrome (92778687729).

The spelling of 32534344206 in words is "thirty-two billion, five hundred thirty-four million, three hundred forty-four thousand, two hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 463 546 819 926 1389 1638 2778 3241 4167 6019 6482 8334 9723 12038 18057 19446 29169 36114 42133 42899 54171 58338 84266 85798 108342 126399 128697 252798 257394 300293 379197 386091 557687 600586 758394 772182 900879 1115374 1673061 1801758 2702637 3346122 3903809 5019183 5405274 7807618 10038366 11711427 19862237 23422854 35134281 39724474 59586711 70268562 119173422 139035659 178760133 258209081 278071318 357520266 417106977 516418162 774627243 834213954 1251320931 1549254486 1807463567 2323881729 2502641862 3614927134 4647763458 5422390701 10844781402 16267172103 32534344206