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5116960440 = 23325314310663
BaseRepresentation
bin1001100001111111…
…01001111010111000
3111012121110112010100
410300333221322320
540434420213230
62203430115400
7240542306004
oct46077517270
914177415110
105116960440
112196433129
12ba97abb60
13637160157
14367829704
151ee35b660
hex130fe9eb8

5116960440 has 192 divisors, whose sum is σ = 17567447040. Its totient is φ = 1289675520.

The previous prime is 5116960369. The next prime is 5116960447. The reversal of 5116960440 is 440696115.

5116960440 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 9 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5116960395 and 5116960404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116960447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 474549 + ... + 485211.

It is an arithmetic number, because the mean of its divisors is an integer number (91497120).

Almost surely, 25116960440 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 5116960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783723520).

5116960440 is an abundant number, since it is smaller than the sum of its proper divisors (12450486600).

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

5116960440 is a wasteful number, since it uses less digits than its factorization.

5116960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5116960440 is about 71532.9325555719. The cubic root of 5116960440 is about 1723.2066150562.

The spelling of 5116960440 in words is "five billion, one hundred sixteen million, nine hundred sixty thousand, four hundred forty".