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413664412300 = 225231133440133
BaseRepresentation
bin1100000010100000101…
…00100000001010001100
31110112201222120102210021
412001100110200022030
523234141042143200
6514011303551524
741612663326516
oct6012024401214
91415658512707
10413664412300
1114a48585a627
126820745b5a4
133001556bcc9
1416042c80bb6
15ab6133d41a
hex605052028c

413664412300 has 36 divisors (see below), whose sum is σ = 926608290496. Its totient is φ = 160128158400.

The previous prime is 413664412289. The next prime is 413664412339. The reversal of 413664412300 is 3214466314.

It is a super-2 number, since 2×4136644123002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66716967 + ... + 66723166.

Almost surely, 2413664412300 is an apocalyptic number.

It is an amenable number.

413664412300 is an abundant number, since it is smaller than the sum of its proper divisors (512943878196).

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

413664412300 is a wasteful number, since it uses less digits than its factorization.

413664412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133440178 (or 133440171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 413664412300 its reverse (3214466314), we get a palindrome (416878878614).

The spelling of 413664412300 in words is "four hundred thirteen billion, six hundred sixty-four million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 133440133 266880266 533760532 667200665 1334401330 2668802660 3336003325 4136644123 6672006650 8273288246 13344013300 16546576492 20683220615 41366441230 82732882460 103416103075 206832206150 413664412300