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24052740000 = 253543111289
BaseRepresentation
bin10110011001101001…
…111010111110100000
32022002021110210101020
4112121221322332200
5343230000140000
615014421405440
71511022626262
oct263151727640
968067423336
1024052740000
11a223165623
1247b3269880
132364203943
141242647b32
1595b95cba0
hex599a7afa0

24052740000 has 240 divisors, whose sum is σ = 79212893760. Its totient is φ = 6388480000.

The previous prime is 24052739987. The next prime is 24052740011. The reversal of 24052740000 is 4725042.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 18659356 + ... + 18660644.

It is an arithmetic number, because the mean of its divisors is an integer number (330053724).

Almost surely, 224052740000 is an apocalyptic number.

24052740000 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 24052740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606446880).

24052740000 is an abundant number, since it is smaller than the sum of its proper divisors (55160153760).

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

24052740000 is a wasteful number, since it uses less digits than its factorization.

24052740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The spelling of 24052740000 in words is "twenty-four billion, fifty-two million, seven hundred forty thousand".