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52434105300 = 223352112317293
BaseRepresentation
bin110000110101010100…
…001111001111010100
312000100020000112101000
4300311110033033110
51324341112332200
640030552503300
73534236353443
oct606524171724
9160306015330
1052434105300
112026775a425
12a1b40aab30
134c3813a115
142775b0ad5a
15156d406300
hexc3550f3d4

52434105300 has 144 divisors (see below), whose sum is σ = 168725798080. Its totient is φ = 13969169280.

The previous prime is 52434105293. The next prime is 52434105349. The reversal of 52434105300 is 350143425.

52434105300 is a `hidden beast` number, since 5 + 243 + 410 + 5 + 3 + 0 + 0 = 666.

52434105300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×524341053002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3023454 + ... + 3040746.

Almost surely, 252434105300 is an apocalyptic number.

52434105300 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 52434105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84362899040).

52434105300 is an abundant number, since it is smaller than the sum of its proper divisors (116291692780).

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

52434105300 is a wasteful number, since it uses less digits than its factorization.

52434105300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18439 (or 18426 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 52434105300 its reverse (350143425), we get a palindrome (52784248725).

The spelling of 52434105300 in words is "fifty-two billion, four hundred thirty-four million, one hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1123 1350 2246 2700 3369 4492 5615 6738 10107 11230 13476 16845 17293 20214 22460 28075 30321 33690 34586 40428 50535 51879 56150 60642 67380 69172 84225 86465 101070 103758 112300 121284 151605 155637 168450 172930 202140 207516 252675 259395 303210 311274 336900 345860 432325 466911 505350 518790 606420 622548 758025 778185 864650 933822 1010700 1037580 1296975 1516050 1556370 1729300 1867644 2334555 2593950 3032100 3112740 3890925 4669110 5187900 7781850 9338220 11672775 15563700 19420039 23345550 38840078 46691100 58260117 77680156 97100195 116520234 174780351 194200390 233040468 291300585 349560702 388400780 485500975 524341053 582601170 699121404 873901755 971001950 1048682106 1165202340 1456502925 1747803510 1942003900 2097364212 2621705265 2913005850 3495607020 4369508775 5243410530 5826011700 8739017550 10486821060 13108526325 17478035100 26217052650 52434105300