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5756534784 = 21433711132
BaseRepresentation
bin1010101110001110…
…11100000000000000
3112212011221021012000
411113013130000000
543242133103114
62351114304000
7262436511150
oct52707340000
915764837160
105756534784
112494460870
121147a28000
13709803900
143c8754760
1523a594e09
hex1571dc000

5756534784 has 720 divisors, whose sum is σ = 23026026240. Its totient is φ = 1380188160.

The previous prime is 5756534753. The next prime is 5756534807. The reversal of 5756534784 is 4874356575.

5756534784 is a `hidden beast` number, since 5 + 7 + 565 + 3 + 4 + 78 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14112000) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5756534784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442810362 + ... + 442810374.

It is an arithmetic number, because the mean of its divisors is an integer number (31980592).

Almost surely, 25756534784 is an apocalyptic number.

5756534784 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 5756534784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513013120).

5756534784 is an abundant number, since it is smaller than the sum of its proper divisors (17269491456).

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

5756534784 is a wasteful number, since it uses less digits than its factorization.

5756534784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The square root of 5756534784 is about 75871.8312946248. The cubic root of 5756534784 is about 1792.2023581006.

The spelling of 5756534784 in words is "five billion, seven hundred fifty-six million, five hundred thirty-four thousand, seven hundred eighty-four".