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4368823368 = 23371319127829
BaseRepresentation
bin1000001000110011…
…01111010001001000
3102021110201012222220
410010121233101020
532421404321433
62001303014040
7213156246240
oct40431572110
912243635886
104368823368
1119420a5728
12a1b13a320
135481685b0
142d6320b20
151a882b2b3
hex10466f448

4368823368 has 256 divisors, whose sum is σ = 14278656000. Its totient is φ = 1081672704.

The previous prime is 4368823363. The next prime is 4368823369. The reversal of 4368823368 is 8633288634.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4368823368.

It is not an unprimeable number, because it can be changed into a prime (4368823363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5269578 + ... + 5270406.

It is an arithmetic number, because the mean of its divisors is an integer number (55776000).

Almost surely, 24368823368 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 4368823368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139328000).

4368823368 is an abundant number, since it is smaller than the sum of its proper divisors (9909832632).

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

4368823368 is a wasteful number, since it uses less digits than its factorization.

4368823368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The square root of 4368823368 is about 66097.0753362053. The cubic root of 4368823368 is about 1634.7631098217.

The spelling of 4368823368 in words is "four billion, three hundred sixty-eight million, eight hundred twenty-three thousand, three hundred sixty-eight".