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5313506580 = 2233510791961
BaseRepresentation
bin1001111001011010…
…11010110100010100
3111201022022002202000
410330231122310110
541340224202310
62235130515300
7245450026554
oct47455326424
914638262660
105313506580
112287377158
121043595b30
13668aa8345
1438598d164
152117324c0
hex13cb5ad14

5313506580 has 96 divisors (see below), whose sum is σ = 16685585280. Its totient is φ = 1403677440.

The previous prime is 5313506563. The next prime is 5313506581. The reversal of 5313506580 is 856053135.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313506581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11800 + ... + 103760.

It is an arithmetic number, because the mean of its divisors is an integer number (173808180).

Almost surely, 25313506580 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 5313506580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342792640).

5313506580 is an abundant number, since it is smaller than the sum of its proper divisors (11372078700).

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

5313506580 is a wasteful number, since it uses less digits than its factorization.

5313506580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92086 (or 92078 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5313506580 is about 72893.8034403474. The cubic root of 5313506580 is about 1744.9932080206.

The spelling of 5313506580 in words is "five billion, three hundred thirteen million, five hundred six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780 91961 183922 275883 367844 459805 551766 827649 919610 1103532 1379415 1655298 1839220 2482947 2758830 3310596 4138245 4965894 5517660 8276490 9839827 9931788 12414735 16552980 19679654 24829470 29519481 39359308 49199135 49658940 59038962 88558443 98398270 118077924 147597405 177116886 196796540 265675329 295194810 354233772 442792215 531350658 590389620 885584430 1062701316 1328376645 1771168860 2656753290 5313506580