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5184061344 = 2533711292687
BaseRepresentation
bin1001101001111111…
…00111111110100000
3111101021201121021000
410310333213332200
541104104430334
62214224232000
7242315536320
oct46477477640
914337647230
105184061344
1122202a4020
12100816b600
13648025227
143726d5280
152051b3299
hex134fe7fa0

5184061344 has 384 divisors, whose sum is σ = 19508428800. Its totient is φ = 1299594240.

The previous prime is 5184061339. The next prime is 5184061367. The reversal of 5184061344 is 4431604815.

5184061344 is a `hidden beast` number, since 518 + 4 + 0 + 6 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5184061299 and 5184061308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1927969 + ... + 1930655.

It is an arithmetic number, because the mean of its divisors is an integer number (50803200).

Almost surely, 25184061344 is an apocalyptic number.

5184061344 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 5184061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754214400).

5184061344 is an abundant number, since it is smaller than the sum of its proper divisors (14324367456).

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

5184061344 is a wasteful number, since it uses less digits than its factorization.

5184061344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5184061344 is about 72000.4259987398. The cubic root of 5184061344 is about 1730.7063109899.

The spelling of 5184061344 in words is "five billion, one hundred eighty-four million, sixty-one thousand, three hundred forty-four".