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5584493376 = 263371119472
BaseRepresentation
bin1010011001101110…
…01001101101000000
3112102012012122202000
411030313021231000
542414112242001
62322051024000
7255250260540
oct51467115500
915365178660
105584493376
112406334590
1210ba29b000
136acc88367
143ad96d320
1522a40ea86
hex14cdc9b40

5584493376 has 672 divisors, whose sum is σ = 22013875200. Its totient is φ = 1344936960.

The previous prime is 5584493363. The next prime is 5584493401. The reversal of 5584493376 is 6733944855.

5584493376 is a `hidden beast` number, since 5 + 5 + 84 + 493 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118818985 + ... + 118819031.

Almost surely, 25584493376 is an apocalyptic number.

5584493376 is a gapful number since it is divisible by the number (56) 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 5584493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006937600).

5584493376 is an abundant number, since it is smaller than the sum of its proper divisors (16429381824).

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

5584493376 is a wasteful number, since it uses less digits than its factorization.

5584493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 89 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5584493376 is about 74729.4679226341. The cubic root of 5584493376 is about 1774.1673937828.

The spelling of 5584493376 in words is "five billion, five hundred eighty-four million, four hundred ninety-three thousand, three hundred seventy-six".