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252505050500 = 22531957146549
BaseRepresentation
bin1110101100101001111…
…0010100110110000100
3220010202111210121101102
43223022132110312010
513114112243104000
6311555455315232
724146211341663
oct3531236246604
9803674717342
10252505050500
11980a557781a
1240b2b51bb18
131aa710690b1
14c3153b8dda
15687cbe13d5
hex3aca794d84

252505050500 has 96 divisors (see below), whose sum is σ = 581524944000. Its totient is φ = 95516496000.

The previous prime is 252505050491. The next prime is 252505050509. The reversal of 252505050500 is 5050505252.

It is a happy number.

252505050500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252505050491) and next prime (252505050509).

It is not an unprimeable number, because it can be changed into a prime (252505050509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5401226 + ... + 5447774.

It is an arithmetic number, because the mean of its divisors is an integer number (6057551500).

Almost surely, 2252505050500 is an apocalyptic number.

252505050500 is a gapful number since it is divisible by the number (20) 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 252505050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290762472000).

252505050500 is an abundant number, since it is smaller than the sum of its proper divisors (329019893500).

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

252505050500 is a wasteful number, since it uses less digits than its factorization.

252505050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47158 (or 47146 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 29.

Adding to 252505050500 its reverse (5050505252), we get a palindrome (257555555752).

The spelling of 252505050500 in words is "two hundred fifty-two billion, five hundred five million, fifty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 571 950 1142 1900 2284 2375 2855 4750 5710 9500 10849 11420 14275 21698 28550 43396 46549 54245 57100 71375 93098 108490 142750 186196 216980 232745 271225 285500 465490 542450 884431 930980 1084900 1163725 1356125 1768862 2327450 2712250 3537724 4422155 4654900 5424500 5818625 8844310 11637250 17688620 22110775 23274500 26579479 44221550 53158958 88443100 106317916 110553875 132897395 221107750 265794790 442215500 505010101 531589580 664486975 1010020202 1328973950 2020040404 2525050505 2657947900 3322434875 5050101010 6644869750 10100202020 12625252525 13289739500 25250505050 50501010100 63126262625 126252525250 252505050500