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12764446721 = 13981880517
BaseRepresentation
bin10111110001101001…
…00000000000000001
31012221120120002002222
423320310200000001
5202120144243341
65510334220425
7631213002245
oct137064400001
935846502088
1012764446721
115460219824
122582954715
131285649b70
14891370425
154ea92344b
hex2f8d20001

12764446721 has 4 divisors (see below), whose sum is σ = 13746327252. Its totient is φ = 11782566192.

The previous prime is 12764446699. The next prime is 12764446727.

12764446721 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5911918321 + 6852528400 = 76889^2 + 82780^2 .

It is a cyclic number.

It is not a de Polignac number, because 12764446721 - 230 = 11690704897 is a prime.

It is a super-3 number, since 3×127644467213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12764446727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 490940246 + ... + 490940271.

It is an arithmetic number, because the mean of its divisors is an integer number (3436581813).

It is a Proth number, since it is equal to 97385 ⋅ 217 + 1 and 97385 < 217.

Almost surely, 212764446721 is an apocalyptic number.

It is an amenable number.

12764446721 is a deficient number, since it is larger than the sum of its proper divisors (981880531).

12764446721 is an equidigital number, since it uses as much as digits as its factorization.

12764446721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981880530.

The product of its digits is 451584, while the sum is 44.

The spelling of 12764446721 in words is "twelve billion, seven hundred sixty-four million, four hundred forty-six thousand, seven hundred twenty-one".

Divisors: 1 13 981880517 12764446721