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12064563441 = 337292201161
BaseRepresentation
bin10110011110001101…
…01010000011110001
31011010210121022202000
423033012222003301
5144202012012231
65313053244213
7604654045230
oct131706520361
934123538660
1012064563441
11513114a097
122408493669
1311a364b948
14826426b17
154a92756e6
hex2cf1aa0f1

12064563441 has 32 divisors (see below), whose sum is σ = 21131155200. Its totient is φ = 6656307840.

The previous prime is 12064563431. The next prime is 12064563443. The reversal of 12064563441 is 14436546021.

12064563441 is a `hidden beast` number, since 1 + 2 + 0 + 645 + 6 + 3 + 4 + 4 + 1 = 666.

12064563441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12064563441 - 25 = 12064563409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12064563396 and 12064563405.

It is not an unprimeable number, because it can be changed into a prime (12064563443) 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 31 ways as a sum of consecutive naturals, for example, 1095100 + ... + 1106061.

It is an arithmetic number, because the mean of its divisors is an integer number (660348600).

Almost surely, 212064563441 is an apocalyptic number.

It is an amenable number.

12064563441 is a deficient number, since it is larger than the sum of its proper divisors (9066591759).

12064563441 is a wasteful number, since it uses less digits than its factorization.

12064563441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201206 (or 2201200 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12064563441 in words is "twelve billion, sixty-four million, five hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 2201161 6603483 15408127 19810449 46224381 59431347 63833669 138673143 191501007 416019429 446835683 574503021 1340507049 1723509063 4021521147 12064563441