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505200255200 = 25524717477691
BaseRepresentation
bin1110101101000000100…
…10000010000011100000
31210022000021102001021222
413112200102002003200
531234122231131300
61024030310434212
751333222213254
oct7264022020340
91708007361258
10505200255200
11185288412173
1281ab2662968
1338842622b64
141a647b32264
15d21c444785
hex75a04820e0

505200255200 has 144 divisors (see below), whose sum is σ = 1260445826304. Its totient is φ = 197641612800.

The previous prime is 505200255199. The next prime is 505200255221. The reversal of 505200255200 is 2552002505.

It is a super-3 number, since 3×5052002552003 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505200255200.

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 23 ways as a sum of consecutive naturals, for example, 65683355 + ... + 65691045.

It is an arithmetic number, because the mean of its divisors is an integer number (8753096016).

Almost surely, 2505200255200 is an apocalyptic number.

505200255200 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 505200255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630222913152).

505200255200 is an abundant number, since it is smaller than the sum of its proper divisors (755245571104).

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

505200255200 is a wasteful number, since it uses less digits than its factorization.

505200255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 26.

Adding to 505200255200 its reverse (2552002505), we get a palindrome (507752257705).

The spelling of 505200255200 in words is "five hundred five billion, two hundred million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1747 1880 2350 3494 3760 4700 6988 7520 7691 8735 9400 13976 15382 17470 18800 27952 30764 34940 37600 38455 43675 55904 61528 69880 76910 82109 87350 123056 139760 153820 164218 174700 192275 246112 279520 307640 328436 349400 361477 384550 410545 615280 656872 698800 722954 769100 821090 1230560 1313744 1397600 1445908 1538200 1642180 1807385 2052725 2627488 2891816 3076400 3284360 3614770 4105450 5783632 6152800 6568720 7229540 8210900 9036925 11567264 13137440 13436177 14459080 16421800 18073850 26872354 28918160 32843600 36147700 53744708 57836320 65687200 67180885 72295400 107489416 134361770 144590800 214978832 268723540 289181600 335904425 429957664 537447080 631500319 671808850 1074894160 1263000638 1343617700 2149788320 2526001276 2687235400 3157501595 5052002552 5374470800 6315003190 10104005104 10748941600 12630006380 15787507975 20208010208 25260012760 31575015950 50520025520 63150031900 101040051040 126300063800 252600127600 505200255200