Search a number
-
+
24450232320 = 212355173
BaseRepresentation
bin10110110001010110…
…001111000000000000
32100002222102111100000
4112301112033000000
5400033224413240
615122101200000
71523620355103
oct266126170000
970088374300
1024450232320
11a407578478
1248a4400000
1323c86779b7
14127d35873a
159817c8430
hex5b158f000

24450232320 has 624 divisors, whose sum is σ = 93381331680. Its totient is φ = 6136528896.

The previous prime is 24450232319. The next prime is 24450232361. The reversal of 24450232320 is 2323205442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438248952 + ... + 1438248968.

It is an arithmetic number, because the mean of its divisors is an integer number (149649570).

Almost surely, 224450232320 is an apocalyptic number.

24450232320 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 24450232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46690665840).

24450232320 is an abundant number, since it is smaller than the sum of its proper divisors (68931099360).

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

24450232320 is an frugal number, since it uses more digits than its factorization.

24450232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 24450232320 its reverse (2323205442), we get a palindrome (26773437762).

The spelling of 24450232320 in words is "twenty-four billion, four hundred fifty million, two hundred thirty-two thousand, three hundred twenty".