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12328832511361 = 331353105516227
BaseRepresentation
bin1011001101101000011110…
…1011101010110110000001
31121122121212112110110120201
42303122013223222312001
53103443422110330421
642115442032005201
72411504651153632
oct263320753526601
947577775413521
1012328832511361
113a236a05a4693
1214714b1090801
136b57b0a631b2
14308a0c09d889
15165a7b990b91
hexb3687aead81

12328832511361 has 8 divisors (see below), whose sum is σ = 12401111244384. Its totient is φ = 12256764812160.

The previous prime is 12328832511341. The next prime is 12328832511379. The reversal of 12328832511361 is 16311523882321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12328832511361 - 29 = 12328832510849 is a prime.

It is a super-2 number, since 2×123288325113612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12328832511341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52641271 + ... + 52874956.

It is an arithmetic number, because the mean of its divisors is an integer number (1550138905548).

Almost surely, 212328832511361 is an apocalyptic number.

It is an amenable number.

12328832511361 is a deficient number, since it is larger than the sum of its proper divisors (72278733023).

12328832511361 is a wasteful number, since it uses less digits than its factorization.

12328832511361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105516911.

The product of its digits is 414720, while the sum is 46.

The spelling of 12328832511361 in words is "twelve trillion, three hundred twenty-eight billion, eight hundred thirty-two million, five hundred eleven thousand, three hundred sixty-one".

Divisors: 1 331 353 116843 105516227 34925871137 37247228131 12328832511361