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5313410000 = 2454719739
BaseRepresentation
bin1001111001011010…
…00011001111010000
3111201022010012020222
410330231003033100
541340213110000
62235124452212
7245446145153
oct47455031720
914638105228
105313410000
112287310638
12104354a068
13668a733b2
14385965c9a
15211713a85
hex13cb433d0

5313410000 has 100 divisors (see below), whose sum is σ = 12899620800. Its totient is φ = 2119536000.

The previous prime is 5313409987. The next prime is 5313410017. The reversal of 5313410000 is 143135.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7189631 + ... + 7190369.

It is an arithmetic number, because the mean of its divisors is an integer number (128996208).

Almost surely, 25313410000 is an apocalyptic number.

5313410000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449810400).

5313410000 is an abundant number, since it is smaller than the sum of its proper divisors (7586210800).

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

5313410000 is an equidigital number, since it uses as much as digits as its factorization.

5313410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 5313410000 is about 72893.1409667604. The cubic root of 5313410000 is about 1744.9826354378.

Adding to 5313410000 its reverse (143135), we get a palindrome (5313553135).

The spelling of 5313410000 in words is "five billion, three hundred thirteen million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 719 739 1000 1250 1438 1478 2000 2500 2876 2956 3595 3695 5000 5752 5912 7190 7390 10000 11504 11824 14380 14780 17975 18475 28760 29560 35950 36950 57520 59120 71900 73900 89875 92375 143800 147800 179750 184750 287600 295600 359500 369500 449375 461875 531341 719000 739000 898750 923750 1062682 1438000 1478000 1797500 1847500 2125364 2656705 3595000 3695000 4250728 5313410 7190000 7390000 8501456 10626820 13283525 21253640 26567050 42507280 53134100 66417625 106268200 132835250 212536400 265670500 332088125 531341000 664176250 1062682000 1328352500 2656705000 5313410000