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5115431639824 = 2411446732
BaseRepresentation
bin100101001110000011101…
…1111000101101100010000
3200010000211020002222212121
41022130013133011230100
51132302400444433244
614513555153104024
71035402110340202
oct112340737055420
920100736088777
105115431639824
1116a2495890000
126a74a3858014
132b14c998b81c
141398340aa772
158d0e65d3c84
hex4a7077c5b10

5115431639824 has 75 divisors (see below), whose sum is σ = 10904529505765. Its totient is φ = 2324698618880.

The previous prime is 5115431639807. The next prime is 5115431639839. The reversal of 5115431639824 is 4289361345115.

The square root of 5115431639824 is 2261732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4903124490000 + 212307149824 = 2214300^2 + 460768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1094675952 + ... + 1094680624.

Almost surely, 25115431639824 is an apocalyptic number.

5115431639824 is the 2261732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5115431639824

5115431639824 is an abundant number, since it is smaller than the sum of its proper divisors (5789097865941).

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

5115431639824 is an frugal number, since it uses more digits than its factorization.

5115431639824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 4686 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 5115431639824 in words is "five trillion, one hundred fifteen billion, four hundred thirty-one million, six hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 4673 5324 9346 10648 14641 18692 21296 29282 37384 51403 58564 74768 102806 117128 205612 234256 411224 565433 822448 1130866 2261732 4523464 6219763 9046928 12439526 21836929 24879052 43673858 49758104 68417393 87347716 99516208 136834786 174695432 240206219 273669572 349390864 480412438 547339144 960824876 1094678288 1921649752 2642268409 3843299504 5284536818 10569073636 21138147272 29064952499 42276294544 58129904998 116259809996 232519619992 319714477489 465039239984 639428954978 1278857909956 2557715819912 5115431639824