Search a number
-
+
2533609389141 = 35831151109139
BaseRepresentation
bin100100110111100110111…
…000110011110001010101
322222012200121001102200000
4210313212320303301111
5313002313000423031
65215531334041513
7351022126321605
oct44674670636125
98865617042600
102533609389141
118975524a3846
1234b0447a9299
13154bc2793b4c
148a8ad632c05
1545d895533e6
hex24de6e33c55

2533609389141 has 48 divisors (see below), whose sum is σ = 3844298465280. Its totient is φ = 1667257570800.

The previous prime is 2533609389133. The next prime is 2533609389151. The reversal of 2533609389141 is 1419839063352.

2533609389141 is a `hidden beast` number, since 2 + 5 + 336 + 0 + 93 + 89 + 141 = 666.

It is not a de Polignac number, because 2533609389141 - 23 = 2533609389133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533609389151) 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 47 ways as a sum of consecutive naturals, for example, 23159950 + ... + 23269088.

It is an arithmetic number, because the mean of its divisors is an integer number (80089551360).

Almost surely, 22533609389141 is an apocalyptic number.

It is an amenable number.

2533609389141 is a deficient number, since it is larger than the sum of its proper divisors (1310689076139).

2533609389141 is a wasteful number, since it uses less digits than its factorization.

2533609389141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110388 (or 110376 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2533609389141 in words is "two trillion, five hundred thirty-three billion, six hundred nine million, three hundred eighty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 83 243 249 747 1151 2241 3453 6723 10359 20169 31077 93231 95533 109139 279693 286599 327417 859797 982251 2579391 2946753 7738173 8840259 9058537 23214519 26520777 27175611 81526833 125618989 244580499 376856967 733741497 1130570901 2201224491 3391712703 10175138109 10426376087 30525414327 31279128261 93837384783 281512154349 844536463047 2533609389141