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5687164224 = 26357217439
BaseRepresentation
bin1010100101111101…
…10011110101000000
3112200100101212200000
411102332303311000
543121403223344
62340155400000
7260635045500
oct52276636500
915610355600
105687164224
11245928a725
121128753000
136c8325741
143bd457a00
15234440a69
hex152fb3d40

5687164224 has 504 divisors, whose sum is σ = 20869168320. Its totient is φ = 1525837824.

The previous prime is 5687164187. The next prime is 5687164229. The reversal of 5687164224 is 4224617865.

5687164224 is a `hidden beast` number, since 568 + 7 + 1 + 64 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 5687164224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5687164229) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12954597 + ... + 12955035.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 25687164224 is an apocalyptic number.

5687164224 is a gapful number since it is divisible by the number (54) 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 5687164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434584160).

5687164224 is an abundant number, since it is smaller than the sum of its proper divisors (15182004096).

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

5687164224 is a wasteful number, since it uses less digits than its factorization.

5687164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 468 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5687164224 is about 75413.2894389311. The cubic root of 5687164224 is about 1784.9741172718.

The spelling of 5687164224 in words is "five billion, six hundred eighty-seven million, one hundred sixty-four thousand, two hundred twenty-four".