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5318485120 = 275131135657
BaseRepresentation
bin1001111010000000…
…11010010010000000
3111201122200001000101
410331000122102000
541343013010440
62235425332144
7245540243344
oct47500322200
914648601011
105318485120
11228a167653
121045197054
13669b2c420
143864c7624
15211db769a
hex13d01a480

5318485120 has 128 divisors (see below), whose sum is σ = 13816157040. Its totient is φ = 1946025984.

The previous prime is 5318485103. The next prime is 5318485199. The reversal of 5318485120 is 215848135.

It can be written as a sum of positive squares in 8 ways, for example, as 8156736 + 5310328384 = 2856^2 + 72872^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53184851202 = 56572567943322828800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5318485120.

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 15 ways as a sum of consecutive naturals, for example, 937332 + ... + 942988.

Almost surely, 25318485120 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 5318485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908078520).

5318485120 is an abundant number, since it is smaller than the sum of its proper divisors (8497671920).

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

5318485120 is a wasteful number, since it uses less digits than its factorization.

5318485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 5318485120 is about 72927.9447125723. The cubic root of 5318485120 is about 1745.5380338327.

The spelling of 5318485120 in words is "five billion, three hundred eighteen million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 113 128 130 160 208 226 260 320 416 452 520 565 640 832 904 1040 1130 1469 1664 1808 2080 2260 2938 3616 4160 4520 5657 5876 7232 7345 8320 9040 11314 11752 14464 14690 18080 22628 23504 28285 29380 36160 45256 47008 56570 58760 72320 73541 90512 94016 113140 117520 147082 181024 188032 226280 235040 294164 362048 367705 452560 470080 588328 639241 724096 735410 905120 940160 1176656 1278482 1470820 1810240 2353312 2556964 2941640 3196205 3620480 4706624 5113928 5883280 6392410 8310133 9413248 10227856 11766560 12784820 16620266 20455712 23533120 25569640 33240532 40911424 41550665 47066240 51139280 66481064 81822848 83101330 102278560 132962128 166202660 204557120 265924256 332405320 409114240 531848512 664810640 1063697024 1329621280 2659242560 5318485120