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5378330880 = 283351311971
BaseRepresentation
bin1010000001001001…
…01101000100000000
3111212211021111222000
411000210231010000
542003323042010
62245404144000
7250165025646
oct50044550400
914784244860
105378330880
11230aa2265a
121061238000
13679354110
14390425196
152172897c0
hex14092d100

5378330880 has 288 divisors, whose sum is σ = 20555445120. Its totient is φ = 1323786240.

The previous prime is 5378330843. The next prime is 5378330887. The reversal of 5378330880 is 880338735.

It is a happy number.

5378330880 is a `hidden beast` number, since 537 + 8 + 3 + 30 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5378330887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443295 + ... + 455265.

Almost surely, 25378330880 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 5378330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277722560).

5378330880 is an abundant number, since it is smaller than the sum of its proper divisors (15177114240).

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

5378330880 is a wasteful number, since it uses less digits than its factorization.

5378330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5378330880 is about 73337.1043878881. The cubic root of 5378330880 is about 1752.0607972897.

The spelling of 5378330880 in words is "five billion, three hundred seventy-eight million, three hundred thirty thousand, eight hundred eighty".