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505112004200 = 235219489129589
BaseRepresentation
bin1110101100110110000…
…01011000011001101000
31210021210010100102200102
413112123001120121220
531233432133113300
61024013435124532
751331101123566
oct7263301303150
91707703312612
10505112004200
11185242615961
1281a88ba3748
133882a26402b
141a63a11ca36
15d2148110d5
hex759b058668

505112004200 has 48 divisors (see below), whose sum is σ = 1174454731500. Its totient is φ = 202032875520.

The previous prime is 505112004191. The next prime is 505112004203. The reversal of 505112004200 is 2400211505.

It can be written as a sum of positive squares in 6 ways, for example, as 15506724676 + 489605279524 = 124526^2 + 699718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (505112004203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833006 + ... + 3962594.

Almost surely, 2505112004200 is an apocalyptic number.

505112004200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505112004200 is an abundant number, since it is smaller than the sum of its proper divisors (669342727300).

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

505112004200 is a wasteful number, since it uses less digits than its factorization.

505112004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149094 (or 149085 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 505112004200 its reverse (2400211505), we get a palindrome (507512215705).

The spelling of 505112004200 in words is "five hundred five billion, one hundred twelve million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 19489 38978 77956 97445 129589 155912 194890 259178 389780 487225 518356 647945 779560 974450 1036712 1295890 1948900 2591780 3239725 3897800 5183560 6479450 12958900 25917800 2525560021 5051120042 10102240084 12627800105 20204480168 25255600210 50511200420 63139000525 101022400840 126278001050 252556002100 505112004200