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5439106368 = 263329311349
BaseRepresentation
bin1010001000011001…
…00010110101000000
3112001001122020021000
411010030202311000
542114402400433
62255414532000
7251533432653
oct50414426500
915031566230
105439106368
112341263133
121079667000
13688b13047
1439852589a
1521c792113
hex144322d40

5439106368 has 224 divisors, whose sum is σ = 16642080000. Its totient is φ = 1739888640.

The previous prime is 5439106363. The next prime is 5439106373. The reversal of 5439106368 is 8636019345.

5439106368 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 1 + 0 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5439106363) and next prime (5439106373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5439106363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15584658 + ... + 15585006.

It is an arithmetic number, because the mean of its divisors is an integer number (74295000).

Almost surely, 25439106368 is an apocalyptic number.

5439106368 is a gapful number since it is divisible by the number (58) 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 5439106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040000).

5439106368 is an abundant number, since it is smaller than the sum of its proper divisors (11202973632).

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

5439106368 is a wasteful number, since it uses less digits than its factorization.

5439106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5439106368 is about 73750.2974095698. The cubic root of 5439106368 is about 1758.6355609500.

The spelling of 5439106368 in words is "five billion, four hundred thirty-nine million, one hundred six thousand, three hundred sixty-eight".