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12721061601 = 322777350893
BaseRepresentation
bin10111101100011101…
…11111111011100001
31012211112220212220200
423312032333323201
5202023042432401
65502144255413
7630145145103
oct136616777341
935745825820
1012721061601
115438786956
122570311569
1312796695b1
148896b9573
154e6c03686
hex2f63bfee1

12721061601 has 12 divisors (see below), whose sum is σ = 18375889428. Its totient is φ = 8480235744.

The previous prime is 12721061579. The next prime is 12721061627. The reversal of 12721061601 is 10616012721.

It is a happy number.

12721061601 is a `hidden beast` number, since 1 + 27 + 21 + 0 + 616 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2685830625 + 10035230976 = 51825^2 + 100176^2 .

It is not a de Polignac number, because 12721061601 - 25 = 12721061569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12721061641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224511 + ... + 275403.

It is an arithmetic number, because the mean of its divisors is an integer number (1531324119).

Almost surely, 212721061601 is an apocalyptic number.

It is an amenable number.

12721061601 is a deficient number, since it is larger than the sum of its proper divisors (5654827827).

12721061601 is a wasteful number, since it uses less digits than its factorization.

12721061601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78672 (or 78669 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12721061601 in words is "twelve billion, seven hundred twenty-one million, sixty-one thousand, six hundred one".

Divisors: 1 3 9 27773 50893 83319 152679 249957 458037 1413451289 4240353867 12721061601