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5589987984 = 24337103131137
BaseRepresentation
bin1010011010011000…
…00111001010010000
3112102120112210221000
411031030013022100
542422014103414
62322404502000
7255345054030
oct51514071220
915376483830
105589987984
112409447789
1211000aa900
136b11602c9
143b059d8c0
1522ab47b09
hex14d307290

5589987984 has 320 divisors, whose sum is σ = 18793082880. Its totient is φ = 1558103040.

The previous prime is 5589987979. The next prime is 5589988021. The reversal of 5589987984 is 4897899855.

It is a super-2 number, since 2×55899879842 = 62495931322528768512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40802764 + ... + 40802900.

It is an arithmetic number, because the mean of its divisors is an integer number (58728384).

Almost surely, 25589987984 is an apocalyptic number.

5589987984 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 5589987984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396541440).

5589987984 is an abundant number, since it is smaller than the sum of its proper divisors (13203094896).

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

5589987984 is a wasteful number, since it uses less digits than its factorization.

5589987984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The square root of 5589987984 is about 74766.2222129753. Note that the first 4 decimals coincide. The cubic root of 5589987984 is about 1774.7490734623.

The spelling of 5589987984 in words is "five billion, five hundred eighty-nine million, nine hundred eighty-seven thousand, nine hundred eighty-four".