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23243107680 = 25335131093797
BaseRepresentation
bin10101101001011001…
…011010110101100000
32012222212000012122000
4111221121122311200
5340100213421210
614402220244000
71451662104222
oct255131326540
965885005560
1023243107680
119948145901
1246080a0600
13226555a670
1411a6cd2412
15910831ac0
hex56965ad60

23243107680 has 384 divisors, whose sum is σ = 88435670400. Its totient is φ = 5667397632.

The previous prime is 23243107673. The next prime is 23243107697. The reversal of 23243107680 is 8670134232.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6119542 + ... + 6123338.

It is an arithmetic number, because the mean of its divisors is an integer number (230301225).

Almost surely, 223243107680 is an apocalyptic number.

23243107680 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 23243107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44217835200).

23243107680 is an abundant number, since it is smaller than the sum of its proper divisors (65192562720).

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

23243107680 is a wasteful number, since it uses less digits than its factorization.

23243107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23243107680 in words is "twenty-three billion, two hundred forty-three million, one hundred seven thousand, six hundred eighty".