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506105111050 = 252711131455873
BaseRepresentation
bin1110101110101100011…
…01110010001000001010
31210101100100001111011121
413113112031302020022
531243000402023200
61024300152545454
751364520315050
oct7272615621012
91711310044147
10506105111050
11185702160820
12821056b228a
1338957c29816
141a6d1d941d0
15d271acee1a
hex75d637220a

506105111050 has 48 divisors (see below), whose sum is σ = 1173638043072. Its totient is φ = 157747046400.

The previous prime is 506105111047. The next prime is 506105111053. The reversal of 506105111050 is 50111501605.

It is an interprime number because it is at equal distance from previous prime (506105111047) and next prime (506105111053).

It is a super-2 number, since 2×5061051110502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (506105111053) 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 23 ways as a sum of consecutive naturals, for example, 65724087 + ... + 65731786.

It is an arithmetic number, because the mean of its divisors is an integer number (24450792564).

Almost surely, 2506105111050 is an apocalyptic number.

506105111050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506105111050 is an abundant number, since it is smaller than the sum of its proper divisors (667532932022).

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

506105111050 is a wasteful number, since it uses less digits than its factorization.

506105111050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131455903 (or 131455898 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 506105111050 its reverse (50111501605), we get a palindrome (556216612655).

The spelling of 506105111050 in words is "five hundred six billion, one hundred five million, one hundred eleven thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1925 3850 131455873 262911746 657279365 920191111 1314558730 1446014603 1840382222 2892029206 3286396825 4600955555 6572793650 7230073015 9201911110 10122102221 14460146030 20244204442 23004777775 36150365075 46009555550 50610511105 72300730150 101221022210 253052555525 506105111050