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5018342784 = 273713211047
BaseRepresentation
bin1001010110001110…
…11101010110000000
3110221201220020010120
410223013131112000
540234143432114
62145544300240
7235234131660
oct45307352600
913851806116
105018342784
1121457a6234
12b80771680
1361c8b1900
143586b81a0
151e587b5a9
hex12b1dd580

5018342784 has 192 divisors, whose sum is σ = 16497757440. Its totient is φ = 1323399168.

The previous prime is 5018342783. The next prime is 5018342809. The reversal of 5018342784 is 4872438105.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×50183427843 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018342783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448749 + ... + 459795.

It is an arithmetic number, because the mean of its divisors is an integer number (85925820).

Almost surely, 25018342784 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 5018342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248878720).

5018342784 is an abundant number, since it is smaller than the sum of its proper divisors (11479414656).

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

5018342784 is a wasteful number, since it uses less digits than its factorization.

5018342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11072 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5018342784 is about 70840.2624501067. The cubic root of 5018342784 is about 1712.0644427951.

The spelling of 5018342784 in words is "five billion, eighteen million, three hundred forty-two thousand, seven hundred eighty-four".