Search a number
-
+
2146663541 = 11231218461
BaseRepresentation
bin111111111110011…
…0111110001110101
312112121022210210002
41333330313301311
513344021213131
6553002241045
7104124224201
oct17774676165
95477283702
102146663541
11a01810100
124baab6185
13282978719
14165155b01
15c86d36cb
hex7ff37c75

2146663541 has 18 divisors (see below), whose sum is σ = 2438257878. Its totient is φ = 1888458000.

The previous prime is 2146663517. The next prime is 2146663553. The reversal of 2146663541 is 1453666412.

It can be written as a sum of positive squares in only one way, i.e., 1306533316 + 840130225 = 36146^2 + 28985^2 .

It is not a de Polignac number, because 2146663541 - 226 = 2079554677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2146663495 and 2146663504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146663241) 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 17 ways as a sum of consecutive naturals, for example, 107051 + ... + 125511.

It is an arithmetic number, because the mean of its divisors is an integer number (135458771).

Almost surely, 22146663541 is an apocalyptic number.

It is an amenable number.

2146663541 is a deficient number, since it is larger than the sum of its proper divisors (291594337).

2146663541 is a wasteful number, since it uses less digits than its factorization.

2146663541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18503 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 2146663541 is about 46332.1005459498. The cubic root of 2146663541 is about 1289.9949003264.

The spelling of 2146663541 in words is "two billion, one hundred forty-six million, six hundred sixty-three thousand, five hundred forty-one".

Divisors: 1 11 31 121 341 961 3751 10571 18461 116281 203071 572291 2233781 6295201 17741021 69247211 195151231 2146663541