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5189973120 = 2732519471009
BaseRepresentation
bin1001101010101100…
…01011010010000000
3111101200211221200200
410311112023102000
541112113114440
62214555045200
7242420020653
oct46526132200
914350757620
105189973120
112223671692
12100a140800
13649315017
143733d389a
1520597ec30
hex13558b480

5189973120 has 384 divisors, whose sum is σ = 19285344000. Its totient is φ = 1281982464.

The previous prime is 5189973109. The next prime is 5189973121. The reversal of 5189973120 is 213799815.

5189973120 is a `hidden beast` number, since 518 + 9 + 9 + 7 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (5189973121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5143176 + ... + 5144184.

It is an arithmetic number, because the mean of its divisors is an integer number (50222250).

Almost surely, 25189973120 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 5189973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642672000).

5189973120 is an abundant number, since it is smaller than the sum of its proper divisors (14095370880).

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

5189973120 is a wasteful number, since it uses less digits than its factorization.

5189973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 5189973120 is about 72041.4680583343. The cubic root of 5189973120 is about 1731.3639460337.

The spelling of 5189973120 in words is "five billion, one hundred eighty-nine million, nine hundred seventy-three thousand, one hundred twenty".