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5016307968 = 2834724937
BaseRepresentation
bin1001010101111111…
…01100100100000000
3110221121001211220000
410222333230210000
540233133323333
62145432520000
7235210625400
oct45277544400
913847054800
105016307968
112144636471
12b7bb50000
1361c34b689
14358308800
151e55c8713
hex12afec900

5016307968 has 270 divisors, whose sum is σ = 17403324246. Its totient is φ = 1432940544.

The previous prime is 5016307927. The next prime is 5016307991. The reversal of 5016307968 is 8697036105.

It is a happy number.

5016307968 is a `hidden beast` number, since 5 + 0 + 1 + 630 + 7 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4161798144 + 854509824 = 64512^2 + 29232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1013596 + ... + 1018532.

Almost surely, 25016307968 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 5016307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701662123).

5016307968 is an abundant number, since it is smaller than the sum of its proper divisors (12387016278).

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

5016307968 is an equidigital number, since it uses as much as digits as its factorization.

5016307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5016307968 is about 70825.8989918236. The cubic root of 5016307968 is about 1711.8330113422.

The spelling of 5016307968 in words is "five billion, sixteen million, three hundred seven thousand, nine hundred sixty-eight".