Search a number
-
+
2633573963241 = 32132416112
BaseRepresentation
bin100110010100101101001…
…111011001010111101001
3100022202201022000221201100
4212110231033121113221
5321122024413310431
65333502553512013
7361161263222604
oct46245517312751
910282638027640
102633573963241
1192598a932941
123664a2712609
13161463b4ba00
1491673ab133b
154878a5e14e6
hex2652d3d95e9

2633573963241 has 27 divisors (see below), whose sum is σ = 4119278783607. Its totient is φ = 1620621952560.

The previous prime is 2633573963179. The next prime is 2633573963243. The reversal of 2633573963241 is 1423693753362.

The square root of 2633573963241 is 1622829.

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

2633573963241 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 5 + 7 + 396 + 3 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389581947225 + 2243992016016 = 624165^2 + 1497996^2 .

It is not a de Polignac number, because 2633573963241 - 29 = 2633573962729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2633573963243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63269526 + ... + 63311136.

Almost surely, 22633573963241 is an apocalyptic number.

2633573963241 is the 1622829-th square number.

2633573963241 is the 811415-th centered octagonal number.

It is an amenable number.

2633573963241 is a deficient number, since it is larger than the sum of its proper divisors (1485704820366).

2633573963241 is an frugal number, since it uses more digits than its factorization.

2633573963241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83254 (or 41627 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 2633573963241 in words is "two trillion, six hundred thirty-three billion, five hundred seventy-three million, nine hundred sixty-three thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 41611 124833 374499 540943 1622829 4868487 7032259 21096777 63290331 1731475321 5194425963 15583277889 22509179173 67527537519 202582612557 292619329249 877857987747 2633573963241