Search a number
-
+
23431271136 = 2537133122791
BaseRepresentation
bin10101110100100111…
…001101001011100000
32020110222001220100220
4111310213031023200
5340441401134021
614433021243040
71456435342560
oct256447151340
966428056326
1023431271136
119a34383899
12465b103480
13229552c1a0
1411c3cb2da0
159220edcc6
hex5749cd2e0

23431271136 has 288 divisors, whose sum is σ = 78249798144. Its totient is φ = 5978188800.

The previous prime is 23431271117. The next prime is 23431271153. The reversal of 23431271136 is 63117213432.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23431271097 and 23431271106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8393901 + ... + 8396691.

It is an arithmetic number, because the mean of its divisors is an integer number (271700688).

Almost surely, 223431271136 is an apocalyptic number.

23431271136 is a gapful number since it is divisible by the number (26) 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 23431271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124899072).

23431271136 is an abundant number, since it is smaller than the sum of its proper divisors (54818527008).

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

23431271136 is a wasteful number, since it uses less digits than its factorization.

23431271136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2847 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

Adding to 23431271136 its reverse (63117213432), we get a palindrome (86548484568).

The spelling of 23431271136 in words is "twenty-three billion, four hundred thirty-one million, two hundred seventy-one thousand, one hundred thirty-six".