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5083989120 = 273257218013
BaseRepresentation
bin1001011110000011…
…11000010010000000
3111010022102101222100
410233001320102000
540403000122440
62200251310400
7236662123500
oct45701702200
914108371870
105083989120
112179863301
12b9a74b400
136303878b2
143632c5a00
151eb4e7230
hex12f078480

5083989120 has 288 divisors, whose sum is σ = 20423012220. Its totient is φ = 1161990144.

The previous prime is 5083989083. The next prime is 5083989137. The reversal of 5083989120 is 219893805.

It is a happy number.

5083989120 is a `hidden beast` number, since 508 + 39 + 8 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4907843136 + 176145984 = 70056^2 + 13272^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273234 + ... + 291246.

Almost surely, 25083989120 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 5083989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211506110).

5083989120 is an abundant number, since it is smaller than the sum of its proper divisors (15339023100).

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

5083989120 is a wasteful number, since it uses less digits than its factorization.

5083989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18052 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5083989120 is about 71302.0975848537. The cubic root of 5083989120 is about 1719.4974554899.

The spelling of 5083989120 in words is "five billion, eighty-three million, nine hundred eighty-nine thousand, one hundred twenty".