Search a number
-
+
23725411136 = 267237732801
BaseRepresentation
bin10110000110001001…
…010000101101000000
32021020110112202120222
4112012021100231000
5342042201124021
614522125522212
71466636444600
oct260611205500
967213482528
1023725411136
11a0754155a9
124721713368
13231145791b
141210d9cc00
1593cd516ab
hex586250b40

23725411136 has 168 divisors, whose sum is σ = 57037702536. Its totient is φ = 9754214400.

The previous prime is 23725411079. The next prime is 23725411139. The reversal of 23725411136 is 63111452732.

It can be written as a sum of positive squares in 4 ways, for example, as 8903809600 + 14821601536 = 94360^2 + 121744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23725411096 and 23725411105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23725411139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8468936 + ... + 8471736.

Almost surely, 223725411136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23725411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28518851268).

23725411136 is an abundant number, since it is smaller than the sum of its proper divisors (33312291400).

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

23725411136 is a wasteful number, since it uses less digits than its factorization.

23725411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2920 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

Adding to 23725411136 its reverse (63111452732), we get a palindrome (86836863868).

The spelling of 23725411136 in words is "twenty-three billion, seven hundred twenty-five million, four hundred eleven thousand, one hundred thirty-six".