Search a number
-
+
32561000241 = 37211101199373
BaseRepresentation
bin11110010100110010…
…010110111100110001
310010001020021012020220
4132110302112330301
51013141104001431
622542555123253
72231614635600
oct362462267461
9103036235226
1032561000241
1112899921460
126388743529
1330bbb31863
14180c617a37
15ca88a3b96
hex794c96f31

32561000241 has 48 divisors (see below), whose sum is σ = 55639700928. Its totient is φ = 16747248000.

The previous prime is 32561000239. The next prime is 32561000273. The reversal of 32561000241 is 14200016523.

It is not a de Polignac number, because 32561000241 - 21 = 32561000239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32561000281) 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 47 ways as a sum of consecutive naturals, for example, 63631 + ... + 263003.

It is an arithmetic number, because the mean of its divisors is an integer number (1159160436).

Almost surely, 232561000241 is an apocalyptic number.

It is an amenable number.

32561000241 is a deficient number, since it is larger than the sum of its proper divisors (23078700687).

32561000241 is a wasteful number, since it uses less digits than its factorization.

32561000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199502 (or 199495 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 32561000241 its reverse (14200016523), we get a palindrome (46761016764).

The spelling of 32561000241 in words is "thirty-two billion, five hundred sixty-one million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1111 1617 2121 3333 4949 7777 14847 23331 54439 163317 199373 598119 1395611 2193103 4186833 6579309 9769277 15351721 20136673 29307831 46055163 60410019 107462047 140956711 221503403 322386141 422870133 664510209 986696977 1550523821 2960090931 4651571463 10853666747 32561000241