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12733201441 = 731311936899
BaseRepresentation
bin10111101101111010…
…10011110000100001
31012212101202122122101
423312331103300201
5202034144421231
65503300410401
7630353266162
oct136675236041
935771678571
1012733201441
115444618784
1225743a6a01
13127c02a12c
1488b159769
154e7d00661
hex2f6f53c21

12733201441 has 16 divisors (see below), whose sum is σ = 13075444800. Its totient is φ = 12396533760.

The previous prime is 12733201417. The next prime is 12733201457. The reversal of 12733201441 is 14410233721.

It is a cyclic number.

It is not a de Polignac number, because 12733201441 - 29 = 12733200929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12733201471) 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 15 ways as a sum of consecutive naturals, for example, 1842210 + ... + 1849108.

It is an arithmetic number, because the mean of its divisors is an integer number (817215300).

Almost surely, 212733201441 is an apocalyptic number.

It is an amenable number.

12733201441 is a deficient number, since it is larger than the sum of its proper divisors (342243359).

12733201441 is a wasteful number, since it uses less digits than its factorization.

12733201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12733201441 in words is "twelve billion, seven hundred thirty-three million, two hundred one thousand, four hundred forty-one".

Divisors: 1 73 131 193 6899 9563 14089 25283 503627 903769 1331507 1845659 65975137 97200011 174427417 12733201441