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23424409008 = 243371113192851
BaseRepresentation
bin10101110100001101…
…000001110110110000
32020110111011021022000
4111310031001312300
5340433122042013
614432214214000
71456323122430
oct256415016660
966414137260
1023424409008
119a30517210
124658954300
132293c98960
1411c30082c0
159216e5973
hex574341db0

23424409008 has 640 divisors, whose sum is σ = 95060582400. Its totient is φ = 5318784000.

The previous prime is 23424408991. The next prime is 23424409031. The reversal of 23424409008 is 80090442432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8214783 + ... + 8217633.

It is an arithmetic number, because the mean of its divisors is an integer number (148532160).

Almost surely, 223424409008 is an apocalyptic number.

23424409008 is a gapful number since it is divisible by the number (28) 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 23424409008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47530291200).

23424409008 is an abundant number, since it is smaller than the sum of its proper divisors (71636173392).

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

23424409008 is a wasteful number, since it uses less digits than its factorization.

23424409008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23424409008 in words is "twenty-three billion, four hundred twenty-four million, four hundred nine thousand, eight".