Search a number
-
+
23495629248 = 2632713229241
BaseRepresentation
bin10101111000011100…
…101101100111000000
32020122110011122002200
4111320130231213000
5341104340113443
614443240513200
71461146360550
oct257034554700
966573148080
1023495629248
119a67741013
12467877b800
1322a5973a00
1411cc667160
15927ab2dd3
hex57872d9c0

23495629248 has 756 divisors, whose sum is σ = 88421035248. Its totient is φ = 5837045760.

The previous prime is 23495629247. The next prime is 23495629271. The reversal of 23495629248 is 84292659432.

23495629248 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 5 + 629 + 2 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23495629194 and 23495629203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23495629243) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 573064108 + ... + 573064148.

Almost surely, 223495629248 is an apocalyptic number.

23495629248 is a gapful number since it is divisible by the number (28) 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 23495629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44210517624).

23495629248 is an abundant number, since it is smaller than the sum of its proper divisors (64925406000).

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

23495629248 is a wasteful number, since it uses less digits than its factorization.

23495629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 23495629248 in words is "twenty-three billion, four hundred ninety-five million, six hundred twenty-nine thousand, two hundred forty-eight".