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13205356448 = 251932299337
BaseRepresentation
bin11000100110001100…
…11011111110100000
31021002022012121112212
430103012123332200
5204021032401243
610022204341252
7645145451324
oct142306337640
937068177485
1013205356448
115667096829
122686544828
131325ab30ab
148d3b43984
155244b8318
hex31319bfa0

13205356448 has 48 divisors (see below), whose sum is σ = 26249678280. Its totient is φ = 6539083776.

The previous prime is 13205356429. The next prime is 13205356517. The reversal of 13205356448 is 84465350231.

13205356448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13203848464 + 1507984 = 114908^2 + 1228^2 .

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 7 ways as a sum of consecutive naturals, for example, 1409636 + ... + 1418972.

Almost surely, 213205356448 is an apocalyptic number.

It is an amenable number.

13205356448 is a deficient number, since it is larger than the sum of its proper divisors (13044321832).

13205356448 is a wasteful number, since it uses less digits than its factorization.

13205356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9761 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 13205356448 in words is "thirteen billion, two hundred five million, three hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 193 229 386 458 772 916 1544 1832 3088 3664 6176 7328 9337 18674 37348 44197 74696 88394 149392 176788 298784 353576 707152 1414304 1802041 2138173 3604082 4276346 7208164 8552692 14416328 17105384 28832656 34210768 57665312 68421536 412667389 825334778 1650669556 3301339112 6602678224 13205356448