Search a number
-
+
5186959920 = 24325163193229
BaseRepresentation
bin1001101010010101…
…01011101000110000
3111101111011212100200
410311022223220300
541110330204140
62214410315200
7242352301062
oct46512535060
914344155320
105186959920
1122219a383a
121009128b00
136487cb66c
14372c4b732
15205587030
hex1352aba30

5186959920 has 240 divisors, whose sum is σ = 17694150240. Its totient is φ = 1361608704.

The previous prime is 5186959901. The next prime is 5186959933. The reversal of 5186959920 is 299596815.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22650366 + ... + 22650594.

It is an arithmetic number, because the mean of its divisors is an integer number (73725626).

Almost surely, 25186959920 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 5186959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847075120).

5186959920 is an abundant number, since it is smaller than the sum of its proper divisors (12507190320).

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

5186959920 is a wasteful number, since it uses less digits than its factorization.

5186959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 5186959920 is about 72020.5520667538. The cubic root of 5186959920 is about 1731.0288154741.

The spelling of 5186959920 in words is "five billion, one hundred eighty-six million, nine hundred fifty-nine thousand, nine hundred twenty".