Search a number
-
+
24393684420 = 223257712571061
BaseRepresentation
bin10110101101111110…
…100001010111000100
32022222001000120012100
4112231332201113010
5344424240400140
615112321152100
71522332616320
oct265576412704
968861016170
1024393684420
11a388665176
12488948b630
1323b9a390c1
141275a38980
1597b858530
hex5adfa15c4

24393684420 has 288 divisors, whose sum is σ = 86170646016. Its totient is φ = 5470617600.

The previous prime is 24393684409. The next prime is 24393684437. The reversal of 24393684420 is 2448639342.

24393684420 is a `hidden beast` number, since 243 + 9 + 368 + 4 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22990690 + ... + 22991750.

It is an arithmetic number, because the mean of its divisors is an integer number (299203632).

Almost surely, 224393684420 is an apocalyptic number.

24393684420 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 24393684420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43085323008).

24393684420 is an abundant number, since it is smaller than the sum of its proper divisors (61776961596).

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

24393684420 is a wasteful number, since it uses less digits than its factorization.

24393684420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 24393684420 in words is "twenty-four billion, three hundred ninety-three million, six hundred eighty-four thousand, four hundred twenty".