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5484937120 = 2551317181857
BaseRepresentation
bin1010001101110110…
…10111111110100000
3112011020212200020021
411012323113332200
542213120441440
62304133123224
7252631124215
oct50673277640
915136780207
105484937120
112365116493
121090a89514
1369546b830
143a0655b0c
152217e684a
hex146ed7fa0

5484937120 has 192 divisors, whose sum is σ = 14874795936. Its totient is φ = 1893335040.

The previous prime is 5484937099. The next prime is 5484937181. The reversal of 5484937120 is 217394845.

It can be written as a sum of positive squares in 16 ways, for example, as 194993296 + 5289943824 = 13964^2 + 72732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6399732 + ... + 6400588.

Almost surely, 25484937120 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 5484937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437397968).

5484937120 is an abundant number, since it is smaller than the sum of its proper divisors (9389858816).

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

5484937120 is a wasteful number, since it uses less digits than its factorization.

5484937120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 5484937120 is about 74060.3613277710. The cubic root of 5484937120 is about 1763.5612636356.

The spelling of 5484937120 in words is "five billion, four hundred eighty-four million, nine hundred thirty-seven thousand, one hundred twenty".