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5119116240 = 243572677389
BaseRepresentation
bin1001100010001111…
…11000001111010000
3111012202112001022210
410301013320033100
540440443204430
62203544232120
7240566525100
oct46107701720
914182461283
105119116240
112197675887
12baa46b640
13637736484
14367c2b200
151ee6352b0
hex1311f83d0

5119116240 has 480 divisors, whose sum is σ = 19205735040. Its totient is φ = 1124057088.

The previous prime is 5119116229. The next prime is 5119116257. The reversal of 5119116240 is 426119115.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5119116198 and 5119116207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57518116 + ... + 57518204.

It is an arithmetic number, because the mean of its divisors is an integer number (40011948).

Almost surely, 25119116240 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 5119116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602867520).

5119116240 is an abundant number, since it is smaller than the sum of its proper divisors (14086618800).

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

5119116240 is a wasteful number, since it uses less digits than its factorization.

5119116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 5119116240 is about 71547.9995527478. Note that the first 3 decimals coincide. The cubic root of 5119116240 is about 1723.4485794858.

The spelling of 5119116240 in words is "five billion, one hundred nineteen million, one hundred sixteen thousand, two hundred forty".