Search a number
-
+
25723331140 = 22513226092917
BaseRepresentation
bin10111111101001110…
…101110001001000100
32110101200222121121011
4113331032232021010
5410140133044030
615452300132004
71600306464343
oct277516561104
973350877534
1025723331140
11aa00171461
124b9a837004
13256c354300
141360475b5a
15a08452b2a
hex5fd3ae244

25723331140 has 72 divisors (see below), whose sum is σ = 58536422280. Its totient is φ = 9490950144.

The previous prime is 25723331119. The next prime is 25723331143. The reversal of 25723331140 is 4113332752.

It can be written as a sum of positive squares in 12 ways, for example, as 5690891844 + 20032439296 = 75438^2 + 141536^2 .

It is not an unprimeable number, because it can be changed into a prime (25723331143) 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, 8816962 + ... + 8819878.

It is an arithmetic number, because the mean of its divisors is an integer number (813005865).

Almost surely, 225723331140 is an apocalyptic number.

25723331140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25723331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268211140).

25723331140 is an abundant number, since it is smaller than the sum of its proper divisors (32813091140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25723331140 is a wasteful number, since it uses less digits than its factorization.

25723331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 25723331140 its reverse (4113332752), we get a palindrome (29836663892).

The spelling of 25723331140 in words is "twenty-five billion, seven hundred twenty-three million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2609 2917 3380 5218 5834 10436 11668 13045 14585 26090 29170 33917 37921 52180 58340 67834 75842 135668 151684 169585 189605 339170 379210 440921 492973 678340 758420 881842 985946 1763684 1971892 2204605 2464865 4409210 4929730 7610453 8818420 9859460 15220906 30441812 38052265 76104530 98935889 152209060 197871778 395743556 494679445 989358890 1286166557 1978717780 2572333114 5144666228 6430832785 12861665570 25723331140