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12812655249 = 34125772
BaseRepresentation
bin10111110111011000…
…11001101010010001
31020001221021022210000
423323230121222101
5202220014431444
65515215400213
7632336526012
oct137354315221
936057238700
1012812655249
115485456589
122596b23069
131292628a14
1489791d009
154eec97469
hex2fbb19a91

12812655249 has 15 divisors (see below), whose sum is σ = 19141414347. Its totient is φ = 8541091008.

The previous prime is 12812655239. The next prime is 12812655259. The reversal of 12812655249 is 94255621821.

The square root of 12812655249 is 113193.

It is a perfect power (a square), and thus also a powerful number.

12812655249 is a `hidden beast` number, since 12 + 81 + 2 + 6 + 552 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (12812655239) and next prime (12812655259).

It can be written as a sum of positive squares in only one way, i.e., 11790702225 + 1021953024 = 108585^2 + 31968^2 .

It is not a de Polignac number, because 12812655249 - 211 = 12812653201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12812655209) 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 14 ways as a sum of consecutive naturals, for example, 1012449 + ... + 1025025.

Almost surely, 212812655249 is an apocalyptic number.

12812655249 is the 113193-rd square number.

12812655249 is the 56597-th centered octagonal number.

It is an amenable number.

12812655249 is a deficient number, since it is larger than the sum of its proper divisors (6328759098).

12812655249 is an frugal number, since it uses more digits than its factorization.

12812655249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25166 (or 12580 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

It can be divided in two parts, 12812655 and 249, that added together give a cube (12812904 = 2343).

The spelling of 12812655249 in words is "twelve billion, eight hundred twelve million, six hundred fifty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 12577 37731 113193 339579 1018737 158180929 474542787 1423628361 4270885083 12812655249