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5484056832 = 283329109251
BaseRepresentation
bin1010001101110000…
…00001000100000000
3112011012012221201000
411012320001010000
542212404304312
62304102212000
7252620466612
oct50670010400
915135187630
105484056832
112364675081
121090724000
13695220c57
143a04a6db2
152216c0adc
hex146e01100

5484056832 has 288 divisors, whose sum is σ = 16997904000. Its totient is φ = 1741824000.

The previous prime is 5484056821. The next prime is 5484056873. The reversal of 5484056832 is 2386504845.

5484056832 is a `hidden beast` number, since 5 + 4 + 84 + 0 + 568 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21848707 + ... + 21848957.

It is an arithmetic number, because the mean of its divisors is an integer number (59020500).

Almost surely, 25484056832 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 5484056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498952000).

5484056832 is an abundant number, since it is smaller than the sum of its proper divisors (11513847168).

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

5484056832 is a wasteful number, since it uses less digits than its factorization.

5484056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5484056832 is about 74054.4180451106. The cubic root of 5484056832 is about 1763.4669128197.

The spelling of 5484056832 in words is "five billion, four hundred eighty-four million, fifty-six thousand, eight hundred thirty-two".