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12327321760353 = 326122454137997
BaseRepresentation
bin1011001101100010110110…
…1000100111001001100001
31121122110222020201100210200
42303120231220213021201
53103432323332312403
642115032103215413
72411422345041015
oct263305550471141
947573866640720
1012327321760353
113a22a95841036
12147114b147569
136b55cca785a2
1430890759c545
151659de020ca3
hexb362da27261

12327321760353 has 12 divisors (see below), whose sum is σ = 18098035226388. Its totient is φ = 8083489678560.

The previous prime is 12327321760349. The next prime is 12327321760409. The reversal of 12327321760353 is 35306712372321.

12327321760353 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 7 + 32 + 1 + 7 + 603 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3392919792144 + 8934401968209 = 1841988^2 + 2989047^2 .

It is not a de Polignac number, because 12327321760353 - 22 = 12327321760349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12327321760299 and 12327321760308.

It is not an unprimeable number, because it can be changed into a prime (12327321760333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11227068450 + ... + 11227069547.

It is an arithmetic number, because the mean of its divisors is an integer number (1508169602199).

Almost surely, 212327321760353 is an apocalyptic number.

It is an amenable number.

12327321760353 is a deficient number, since it is larger than the sum of its proper divisors (5770713466035).

12327321760353 is a wasteful number, since it uses less digits than its factorization.

12327321760353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22454138064 (or 22454138061 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 12327321760353 in words is "twelve trillion, three hundred twenty-seven billion, three hundred twenty-one million, seven hundred sixty thousand, three hundred fifty-three".

Divisors: 1 3 9 61 183 549 22454137997 67362413991 202087241973 1369702417817 4109107253451 12327321760353