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12661663144 = 2313373290453
BaseRepresentation
bin10111100101011000…
…11010010110101000
31012200102011010112211
423302230122112220
5201412341210034
65452223214504
7625524234544
oct136254322650
935612133484
1012661663144
1154081a6a19
122554447434
13126a270390
14881856a24
154e18bdd64
hex2f2b1a5a8

12661663144 has 32 divisors (see below), whose sum is σ = 26257822920. Its totient is φ = 5685901056.

The previous prime is 12661663141. The next prime is 12661663153. The reversal of 12661663144 is 44136616621.

It is a happy number.

12661663144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6940556100 + 5721107044 = 83310^2 + 75638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12661663097 and 12661663106.

It is not an unprimeable number, because it can be changed into a prime (12661663141) 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 7 ways as a sum of consecutive naturals, for example, 1641379 + ... + 1649074.

Almost surely, 212661663144 is an apocalyptic number.

It is an amenable number.

12661663144 is an abundant number, since it is smaller than the sum of its proper divisors (13596159776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12661663144 is a wasteful number, since it uses less digits than its factorization.

12661663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290509 (or 3290505 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The spelling of 12661663144 in words is "twelve billion, six hundred sixty-one million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 3290453 6580906 13161812 26323624 42775889 85551778 121746761 171103556 243493522 342207112 486987044 973974088 1582707893 3165415786 6330831572 12661663144