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24242020000 = 2554111011091
BaseRepresentation
bin10110100100111011…
…111101111010100000
32022120110122012201121
4112210323331322200
5344121424120000
615045302342024
71515511525102
oct264473757240
968513565647
1024242020000
11a30aa96480
12484672a914
1323944a6743
14125d839572
1596d39ab1a
hex5a4efdea0

24242020000 has 240 divisors, whose sum is σ = 65765123424. Its totient is φ = 8720000000.

The previous prime is 24242019937. The next prime is 24242020007. The reversal of 24242020000 is 2024242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (24242020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22219455 + ... + 22220545.

Almost surely, 224242020000 is an apocalyptic number.

24242020000 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 24242020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32882561712).

24242020000 is an abundant number, since it is smaller than the sum of its proper divisors (41523103424).

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

24242020000 is a wasteful number, since it uses less digits than its factorization.

24242020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24242020000 its reverse (2024242), we get a palindrome (24244044242).

The spelling of 24242020000 in words is "twenty-four billion, two hundred forty-two million, twenty thousand".