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23848828416 = 29327379191
BaseRepresentation
bin10110001101100000…
…000011111000000000
32021120001210000021100
4112031200003320000
5342320300002131
614542255054400
71502665461000
oct261540037000
967501700240
1023848828416
11a129050856
124756b11400
132330baa0ba
141223528000
15948ace7e6
hex58d803e00

23848828416 has 480 divisors, whose sum is σ = 81709056000. Its totient is φ = 6692474880.

The previous prime is 23848828391. The next prime is 23848828417. The reversal of 23848828416 is 61482884832.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23848828417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124862881 + ... + 124863071.

It is an arithmetic number, because the mean of its divisors is an integer number (170227200).

Almost surely, 223848828416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23848828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528000).

23848828416 is an abundant number, since it is smaller than the sum of its proper divisors (57860227584).

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

23848828416 is an equidigital number, since it uses as much as digits as its factorization.

23848828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 23848828416 in words is "twenty-three billion, eight hundred forty-eight million, eight hundred twenty-eight thousand, four hundred sixteen".