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516113342546320 = 2456451416781829
BaseRepresentation
bin111010101011001110000000…
…0011100100100000110010000
32111200101221202020100101002001
41311112130000130210012100
51020122000111142440240
65025403110230003344
7213465646521641011
oct16526340034440620
92450357666311061
10516113342546320
1113a4a4491902922
1249a762821a6554
13191ca382a06a4c
14916403a451008
153ea045c07a89a
hex1d56700724190

516113342546320 has 20 divisors (see below), whose sum is σ = 1199963521420380. Its totient is φ = 206445337018496.

The previous prime is 516113342546281. The next prime is 516113342546371. The reversal of 516113342546320 is 23645243311615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93272096431504 + 422841246114816 = 9657748^2 + 20563104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3225708390835 + ... + 3225708390994.

It is an arithmetic number, because the mean of its divisors is an integer number (59998176071019).

Almost surely, 2516113342546320 is an apocalyptic number.

It is an amenable number.

516113342546320 is an abundant number, since it is smaller than the sum of its proper divisors (683850178874060).

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

516113342546320 is a wasteful number, since it uses less digits than its factorization.

516113342546320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451416781842 (or 6451416781836 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

Adding to 516113342546320 its reverse (23645243311615), we get a palindrome (539758585857935).

The spelling of 516113342546320 in words is "five hundred sixteen trillion, one hundred thirteen billion, three hundred forty-two million, five hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6451416781829 12902833563658 25805667127316 32257083909145 51611334254632 64514167818290 103222668509264 129028335636580 258056671273160 516113342546320