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506223142050 = 235247268726723
BaseRepresentation
bin1110101110111010100…
…00000010010010100010
31210101122120011002021010
413113131100002102202
531243221111021200
61024320010441350
751400452465543
oct7273520022242
91711576132233
10506223142050
111857628481aa
1282139133256
1338976514452
141a70391a4ca
15d27c147150
hex75dd4024a2

506223142050 has 96 divisors (see below), whose sum is σ = 1282669903872. Its totient is φ = 132066537280.

The previous prime is 506223142043. The next prime is 506223142069. The reversal of 506223142050 is 50241322605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 506223141999 and 506223142017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18929989 + ... + 18956711.

It is an arithmetic number, because the mean of its divisors is an integer number (13361144832).

Almost surely, 2506223142050 is an apocalyptic number.

506223142050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506223142050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641334951936).

506223142050 is an abundant number, since it is smaller than the sum of its proper divisors (776446761822).

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

506223142050 is a wasteful number, since it uses less digits than its factorization.

506223142050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29472 (or 29467 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 506223142050 its reverse (50241322605), we get a palindrome (556464464655).

The spelling of 506223142050 in words is "five hundred six billion, two hundred twenty-three million, one hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 2687 3525 5374 7050 8061 13435 16122 26723 26870 40305 53446 67175 80169 80610 126289 133615 134350 160338 201525 252578 267230 378867 400845 403050 631445 668075 757734 801690 1255981 1262890 1336150 1894335 2004225 2511962 3157225 3767943 3788670 4008450 6279905 6314450 7535886 9471675 12559810 18839715 18943350 31399525 37679430 62799050 71804701 94198575 143609402 188397150 215414103 359023505 430828206 718047010 1077070515 1795117525 2154141030 3374820947 3590235050 5385352575 6749641894 10124462841 10770705150 16874104735 20248925682 33748209470 50622314205 84370523675 101244628410 168741047350 253111571025 506223142050