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5188219344 = 2433711198209
BaseRepresentation
bin1001101010011110…
…11111000111010000
3111101120112211222000
410311033133013100
541111141004334
62214453314000
7242366064630
oct46517370720
914346484860
105188219344
112222683a90
121009635900
13648b4c999
143730986c0
15205735299
hex1353df1d0

5188219344 has 320 divisors, whose sum is σ = 19546368000. Its totient is φ = 1276508160.

The previous prime is 5188219327. The next prime is 5188219349. The reversal of 5188219344 is 4439128815.

5188219344 is a `hidden beast` number, since 518 + 8 + 2 + 1 + 93 + 44 = 666.

It is a super-2 number, since 2×51882193442 = 53835239922911580672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5188219344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188219349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627912 + ... + 636120.

It is an arithmetic number, because the mean of its divisors is an integer number (61082400).

Almost surely, 25188219344 is an apocalyptic number.

5188219344 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 5188219344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773184000).

5188219344 is an abundant number, since it is smaller than the sum of its proper divisors (14358148656).

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

5188219344 is a wasteful number, since it uses less digits than its factorization.

5188219344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8251 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 5188219344 is about 72029.2950402820. The cubic root of 5188219344 is about 1731.1689054205.

The spelling of 5188219344 in words is "five billion, one hundred eighty-eight million, two hundred nineteen thousand, three hundred forty-four".