Search a number
-
+
32491144009 = 1925321792
BaseRepresentation
bin11110010000100111…
…111000001101001001
310002212100211010112001
4132100213320031021
51013020213102014
622532021551001
72230106111242
oct362047701511
9102770733461
1032491144009
1112863449435
126369275461
1330aa5135cc
141803231cc9
15ca26a5974
hex7909f8349

32491144009 has 27 divisors (see below), whose sum is σ = 35146763463. Its totient is φ = 30031591824.

The previous prime is 32491144001. The next prime is 32491144057. The reversal of 32491144009 is 90044119423.

The square root of 32491144009 is 180253.

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

It can be written as a sum of positive squares in only one way, i.e., 23422772025 + 9068371984 = 153045^2 + 95228^2 .

It is not a de Polignac number, because 32491144009 - 23 = 32491144001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32491144001) 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, 181514682 + ... + 181514860.

Almost surely, 232491144009 is an apocalyptic number.

32491144009 is the 180253-rd square number.

32491144009 is the 90127-th centered octagonal number.

It is an amenable number.

32491144009 is a deficient number, since it is larger than the sum of its proper divisors (2655619454).

32491144009 is an frugal number, since it uses more digits than its factorization.

32491144009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 32491144009 in words is "thirty-two billion, four hundred ninety-one million, one hundred forty-four thousand, nine".

Divisors: 1 19 53 179 361 1007 2809 3401 9487 19133 32041 53371 64619 180253 502811 608779 1014049 1698173 3424807 9553409 11566801 32265287 90003169 181514771 613040453 1710060211 32491144009