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24421103424 = 26361972657
BaseRepresentation
bin10110101111100111…
…000111011101000000
32100000221121121000000
4112233213013131000
5400003300302144
615115141000000
71523114645154
oct265747073500
970027547000
1024421103424
11a3a2092503
1248966b3000
1323c2619373
141279535064
1597de72769
hex5af9c7740

24421103424 has 196 divisors, whose sum is σ = 73054008324. Its totient is φ = 8095997952.

The previous prime is 24421103423. The next prime is 24421103437. The reversal of 24421103424 is 42430112442.

24421103424 is a `hidden beast` number, since 24 + 4 + 211 + 0 + 3 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20943878400 + 3477225024 = 144720^2 + 58968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24421103423) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 9189904 + ... + 9192560.

Almost surely, 224421103424 is an apocalyptic number.

24421103424 is a gapful number since it is divisible by the number (24) 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 24421103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36527004162).

24421103424 is an abundant number, since it is smaller than the sum of its proper divisors (48632904900).

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

24421103424 is an equidigital number, since it uses as much as digits as its factorization.

24421103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24421103424 its reverse (42430112442), we get a palindrome (66851215866).

The spelling of 24421103424 in words is "twenty-four billion, four hundred twenty-one million, one hundred three thousand, four hundred twenty-four".