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12911602208 = 255323792
BaseRepresentation
bin11000000011001011…
…10110101000100000
31020022211110100111012
430001211312220200
5202420332232313
65533112240052
7634650544061
oct140145665040
936284410435
1012911602208
11552629892a
1226040a0028
1312a9c9110b
148a6b18568
155087deda8
hex301976a20

12911602208 has 54 divisors (see below), whose sum is σ = 25976923749. Its totient is φ = 6317281152.

The previous prime is 12911602189. The next prime is 12911602229. The reversal of 12911602208 is 80220611921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12247406224 + 664195984 = 110668^2 + 25772^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80348.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34067363 + ... + 34067741.

Almost surely, 212911602208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12911602208

12911602208 is an abundant number, since it is smaller than the sum of its proper divisors (13065321541).

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

12911602208 is an frugal number, since it uses more digits than its factorization.

12911602208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

Multiplying 12911602208 by its sum of digits (32), we get a square (413171270656 = 6427842).

12911602208 divided by its sum of digits (32) gives a square (403487569 = 200872).

The spelling of 12911602208 in words is "twelve billion, nine hundred eleven million, six hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 53 106 212 379 424 758 848 1516 1696 2809 3032 5618 6064 11236 12128 20087 22472 40174 44944 80348 89888 143641 160696 287282 321392 574564 642784 1064611 1149128 2129222 2298256 4258444 4596512 7612973 8516888 15225946 17033776 30451892 34067552 60903784 121807568 243615136 403487569 806975138 1613950276 3227900552 6455801104 12911602208