Search a number
-
+
5413345300 = 2252117169313
BaseRepresentation
bin1010000101010100…
…10001100000010100
3111222021011102201101
411002222101200110
542041304022200
62253054435444
7251101450546
oct50252214024
914867142641
105413345300
1123287684a0
121070b02b84
136836935cc
14394d3b696
1521a3a426a
hex142a91814

5413345300 has 72 divisors (see below), whose sum is σ = 12995543232. Its totient is φ = 1940736000.

The previous prime is 5413345277. The next prime is 5413345369. The reversal of 5413345300 is 35433145.

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 23 ways as a sum of consecutive naturals, for example, 43444 + ... + 112756.

It is an arithmetic number, because the mean of its divisors is an integer number (180493656).

Almost surely, 25413345300 is an apocalyptic number.

5413345300 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 5413345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497771616).

5413345300 is an abundant number, since it is smaller than the sum of its proper divisors (7582197932).

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

5413345300 is a wasteful number, since it uses less digits than its factorization.

5413345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69409 (or 69402 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 5413345300 is about 73575.4395161864. The cubic root of 5413345300 is about 1755.8547093120.

Adding to 5413345300 its reverse (35433145), we get a palindrome (5448778445).

The spelling of 5413345300 in words is "five billion, four hundred thirteen million, three hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 69313 78100 138626 277252 346565 693130 762443 1386260 1524886 1732825 3049772 3465650 3812215 4921223 6931300 7624430 9842446 15248860 19061075 19684892 24606115 38122150 49212230 54133453 76244300 98424460 108266906 123030575 216533812 246061150 270667265 492122300 541334530 1082669060 1353336325 2706672650 5413345300