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12305206665353 = 716371073846467
BaseRepresentation
bin1011001100010000011101…
…1110001110000010001001
31121120100220000021010200002
42303010013132032002021
53103102030401242403
642100533420052345
72410010330610260
oct263040736160211
947510800233602
1012305206665353
113a14677403918
1214689b89940b5
136b34b7129164
1430780a41b5d7
1516514775a188
hexb310778e089

12305206665353 has 8 divisors (see below), whose sum is σ = 14071684116672. Its totient is φ = 10540876910256.

The previous prime is 12305206665343. The next prime is 12305206665397. The reversal of 12305206665353 is 35356660250321.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2k-12305206665353 is a prime.

It is a super-2 number, since 2×123052066653532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12305206665298 and 12305206665307.

It is not an unprimeable number, because it can be changed into a prime (12305206665343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536911775 + ... + 536934692.

It is an arithmetic number, because the mean of its divisors is an integer number (1758960514584).

Almost surely, 212305206665353 is an apocalyptic number.

It is an amenable number.

12305206665353 is a deficient number, since it is larger than the sum of its proper divisors (1766477451319).

12305206665353 is a wasteful number, since it uses less digits than its factorization.

12305206665353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073848111.

The product of its (nonzero) digits is 2916000, while the sum is 47.

The spelling of 12305206665353 in words is "twelve trillion, three hundred five billion, two hundred six million, six hundred sixty-five thousand, three hundred fifty-three".

Divisors: 1 7 1637 11459 1073846467 7516925269 1757886666479 12305206665353