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5404130784 = 2534131923367
BaseRepresentation
bin1010000100001110…
…00111110111100000
3111221121211021210000
411002013013313200
542031424141114
62252125140000
7250630232223
oct50207076740
914847737700
105404130784
112323544498
1210699ba600
136817b8430
14393a1d5ba
15219683e09
hex1421c7de0

5404130784 has 480 divisors, whose sum is σ = 18851374080. Its totient is φ = 1502696448.

The previous prime is 5404130779. The next prime is 5404130789. The reversal of 5404130784 is 4870314045.

5404130784 is a `hidden beast` number, since 540 + 4 + 1 + 30 + 7 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (5404130779) and next prime (5404130789).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5404130789) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14724969 + ... + 14725335.

It is an arithmetic number, because the mean of its divisors is an integer number (39273696).

Almost surely, 25404130784 is an apocalyptic number.

5404130784 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 5404130784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425687040).

5404130784 is an abundant number, since it is smaller than the sum of its proper divisors (13447243296).

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

5404130784 is a wasteful number, since it uses less digits than its factorization.

5404130784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5404130784 is about 73512.7933355821. The cubic root of 5404130784 is about 1754.8578802294.

The spelling of 5404130784 in words is "five billion, four hundred four million, one hundred thirty thousand, seven hundred eighty-four".