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12444606527 = 232929036427
BaseRepresentation
bin10111001011100000…
…11010000000111111
31012010021201111211212
423211300122000333
5200441304402102
65414511035035
7620250260453
oct134560320077
935107644755
1012444606527
115306724091
1224b380ba7b
1312342c3602
14860ab4663
154cc7e5c52
hex2e5c1a03f

12444606527 has 16 divisors (see below), whose sum is σ = 13440176640. Its totient is φ = 11487323232.

The previous prime is 12444606511. The next prime is 12444606533. The reversal of 12444606527 is 72560644421.

It is a happy number.

12444606527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12444606527 - 24 = 12444606511 is a prime.

It is a super-2 number, since 2×124446065272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444606557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933088 + ... + 1939514.

It is an arithmetic number, because the mean of its divisors is an integer number (840011040).

Almost surely, 212444606527 is an apocalyptic number.

12444606527 is a deficient number, since it is larger than the sum of its proper divisors (995570113).

12444606527 is a wasteful number, since it uses less digits than its factorization.

12444606527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382.

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 12444606527 in words is "twelve billion, four hundred forty-four million, six hundred six thousand, five hundred twenty-seven".

Divisors: 1 23 29 667 2903 6427 66769 84187 147821 186383 1936301 4286809 18657581 429124363 541069849 12444606527