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5201563160 = 2352331271673
BaseRepresentation
bin1001101100000100…
…11000111000011000
3111102111122210020102
410312002120320120
541123100010120
62220051314532
7242620362113
oct46602307030
914374583212
105201563160
11222a168432
121011baba48
1364b842531
14374b6d57a
152069bdd75
hex136098e18

5201563160 has 128 divisors (see below), whose sum is σ = 12671631360. Its totient is φ = 1916006400.

The previous prime is 5201563127. The next prime is 5201563187. The reversal of 5201563160 is 613651025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7728584 + ... + 7729256.

It is an arithmetic number, because the mean of its divisors is an integer number (98997120).

Almost surely, 25201563160 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 5201563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335815680).

5201563160 is an abundant number, since it is smaller than the sum of its proper divisors (7470068200).

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

5201563160 is a wasteful number, since it uses less digits than its factorization.

5201563160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5201563160 is about 72121.8632593474. The cubic root of 5201563160 is about 1732.6517920486.

The spelling of 5201563160 in words is "five billion, two hundred one million, five hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 271 310 460 542 620 673 713 920 1084 1240 1346 1355 1426 2168 2692 2710 2852 3365 3565 5384 5420 5704 6233 6730 7130 8401 10840 12466 13460 14260 15479 16802 20863 24932 26920 28520 30958 31165 33604 41726 42005 49864 61916 62330 67208 77395 83452 84010 104315 123832 124660 154790 166904 168020 182383 193223 208630 249320 309580 336040 364766 386446 417260 479849 619160 729532 772892 834520 911915 959698 966115 1459064 1545784 1823830 1919396 1932230 2399245 3647660 3838792 3864460 4194809 4798490 5653873 7295320 7728920 8389618 9596980 11307746 16779236 19193960 20974045 22615492 28269365 33558472 41948090 45230984 56538730 83896180 113077460 130039079 167792360 226154920 260078158 520156316 650195395 1040312632 1300390790 2600781580 5201563160