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5641822368 = 253572131767
BaseRepresentation
bin1010100000100011…
…10110000010100000
3112120012002021100000
411100101312002200
543023301303433
62331455500000
7256544461500
oct52021660240
915505067300
105641822368
112435730716
121115527600
136bbb0b640
143b7413a00
15230486113
hex1504760a0

5641822368 has 864 divisors, whose sum is σ = 22398876864. Its totient is φ = 1379524608.

The previous prime is 5641822363. The next prime is 5641822379. The reversal of 5641822368 is 8632281465.

5641822368 is a `hidden beast` number, since 5 + 6 + 418 + 223 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641822363) 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 143 ways as a sum of consecutive naturals, for example, 84206271 + ... + 84206337.

It is an arithmetic number, because the mean of its divisors is an integer number (25924626).

Almost surely, 25641822368 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 5641822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11199438432).

5641822368 is an abundant number, since it is smaller than the sum of its proper divisors (16757054496).

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

5641822368 is a wasteful number, since it uses less digits than its factorization.

5641822368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5641822368 is about 75112.0653956473. The cubic root of 5641822368 is about 1780.2177876011.

The spelling of 5641822368 in words is "five billion, six hundred forty-one million, eight hundred twenty-two thousand, three hundred sixty-eight".