Search a number
-
+
500347434030200 = 235226937861245639
BaseRepresentation
bin111000111000100000011011…
…1000100011101010001111000
32102121120202011222000001221222
41301301000313010131101320
51011040143021102431300
64532052234334451212
7210250623564454421
oct16161006704352170
92377522158001858
10500347434030200
11135476178530019
124814a827363b08
1318625739775893
148b7ad331c8648
153cca2b9544785
hex1c7103711d478

500347434030200 has 96 divisors (see below), whose sum is σ = 1167667941924000. Its totient is φ = 199388884339200.

The previous prime is 500347434030167. The next prime is 500347434030233. The reversal of 500347434030200 is 2030434743005.

It is an interprime number because it is at equal distance from previous prime (500347434030167) and next prime (500347434030233).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036798981 + ... + 2037044619.

It is an arithmetic number, because the mean of its divisors is an integer number (12163207728375).

Almost surely, 2500347434030200 is an apocalyptic number.

500347434030200 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 500347434030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583833970962000).

500347434030200 is an abundant number, since it is smaller than the sum of its proper divisors (667320507893800).

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

500347434030200 is a wasteful number, since it uses less digits than its factorization.

500347434030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283785 (or 283776 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

Adding to 500347434030200 its reverse (2030434743005), we get a palindrome (502377868773205).

The spelling of 500347434030200 in words is "five hundred trillion, three hundred forty-seven billion, four hundred thirty-four million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 37861 53800 75722 151444 189305 245639 302888 378610 491278 757220 946525 982556 1228195 1514440 1893050 1965112 2456390 3786100 4912780 6140975 7572200 9825560 10184609 12281950 20369218 24563900 40738436 49127800 50923045 66076891 81476872 101846090 132153782 203692180 254615225 264307564 330384455 407384360 509230450 528615128 660768910 1018460900 1321537820 1651922275 2036921800 2643075640 3303844550 6607689100 9300138179 13215378200 18600276358 37200552716 46500690895 74401105432 93001381790 186002763580 232503454475 372005527160 465006908950 930013817900 1860027635800 2501737170151 5003474340302 10006948680604 12508685850755 20013897361208 25017371701510 50034743403020 62543429253775 100069486806040 125086858507550 250173717015100 500347434030200