Search a number
-
+
2543525302041 = 321936174112363
BaseRepresentation
bin100101000000110101111…
…011000000111100011001
3100000011021122120222222100
4211000311323000330121
5313133114434131131
65224251314314013
7351522633225633
oct45006573007431
910004248528870
102543525302041
118a07807a5989
12350b51588909
13155b12c1c829
148b170547a53
1546269d517e6
hex25035ec0f19

2543525302041 has 24 divisors (see below), whose sum is σ = 3868418567520. Its totient is φ = 1605992507136.

The previous prime is 2543525302037. The next prime is 2543525302051. The reversal of 2543525302041 is 1402035253452.

2543525302041 is a `hidden beast` number, since 2 + 5 + 43 + 525 + 30 + 20 + 41 = 666.

It is not a de Polignac number, because 2543525302041 - 22 = 2543525302037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2543525301987 and 2543525302005.

It is not an unprimeable number, because it can be changed into a prime (2543525302051) 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 23 ways as a sum of consecutive naturals, for example, 1437675 + ... + 2674688.

It is an arithmetic number, because the mean of its divisors is an integer number (161184106980).

Almost surely, 22543525302041 is an apocalyptic number.

It is an amenable number.

2543525302041 is a deficient number, since it is larger than the sum of its proper divisors (1324893265479).

2543525302041 is a wasteful number, since it uses less digits than its factorization.

2543525302041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116005 (or 4116002 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2543525302041 in words is "two trillion, five hundred forty-three billion, five hundred twenty-five million, three hundred two thousand, forty-one".

Divisors: 1 3 9 19 57 171 3617 10851 32553 68723 206169 618507 4112363 12337089 37011267 78134897 234404691 703214073 14874416971 44623250913 133869752739 282613922449 847841767347 2543525302041