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5376332820 = 2235477092689
BaseRepresentation
bin1010000000111010…
…00101010000010100
3111212200112000010210
411000131011100110
542002320122240
62245253245420
7250142034465
oct50035052024
914780460123
105376332820
112309888471
121060633870
13678b04831
14390064d6c
15216ee2780
hex140745414

5376332820 has 96 divisors (see below), whose sum is σ = 15401433600. Its totient is φ = 1400684544.

The previous prime is 5376332683. The next prime is 5376332833. The reversal of 5376332820 is 282336735.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998036 + ... + 2000724.

It is an arithmetic number, because the mean of its divisors is an integer number (160431600).

Almost surely, 25376332820 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 5376332820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700716800).

5376332820 is an abundant number, since it is smaller than the sum of its proper divisors (10025100780).

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

5376332820 is a wasteful number, since it uses less digits than its factorization.

5376332820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 5376332820 is about 73323.4806866123. The cubic root of 5376332820 is about 1751.8438057935.

The spelling of 5376332820 in words is "five billion, three hundred seventy-six million, three hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 709 940 1410 1418 2127 2689 2820 2836 3545 4254 5378 7090 8067 8508 10635 10756 13445 14180 16134 21270 26890 32268 33323 40335 42540 53780 66646 80670 99969 126383 133292 161340 166615 199938 252766 333230 379149 399876 499845 505532 631915 666460 758298 999690 1263830 1516596 1895745 1906501 1999380 2527660 3791490 3813002 5719503 7582980 7626004 9532505 11439006 19065010 22878012 28597515 38130020 57195030 89605547 114390060 179211094 268816641 358422188 448027735 537633282 896055470 1075266564 1344083205 1792110940 2688166410 5376332820