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12357423349664 = 254131130285427
BaseRepresentation
bin1011001111010010111111…
…0101000011111110100000
31121202100200002011112111212
42303310233311003332200
53104431000334142124
642140531044525252
72413536320241431
oct263645765037640
947670602145455
1012357423349664
113a34832361678
121476b500b0828
136b83b91bc6b3
1430a1612cd488
151666a1a1540e
hexb3d2fd43fa0

12357423349664 has 48 divisors (see below), whose sum is σ = 25002195656256. Its totient is φ = 6008628518400.

The previous prime is 12357423349651. The next prime is 12357423349669. The reversal of 12357423349664 is 46694332475321.

It is not an unprimeable number, because it can be changed into a prime (12357423349669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14734682 + ... + 15550745.

It is an arithmetic number, because the mean of its divisors is an integer number (520879076172).

Almost surely, 212357423349664 is an apocalyptic number.

It is an amenable number.

12357423349664 is an abundant number, since it is smaller than the sum of its proper divisors (12644772306592).

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

12357423349664 is a wasteful number, since it uses less digits than its factorization.

12357423349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30285789 (or 30285781 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 59.

The spelling of 12357423349664 in words is "twelve trillion, three hundred fifty-seven billion, four hundred twenty-three million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 311 328 622 656 1244 1312 2488 4976 9952 12751 25502 51004 102008 204016 408032 30285427 60570854 121141708 242283416 484566832 969133664 1241702507 2483405014 4966810028 9418767797 9933620056 18837535594 19867240112 37675071188 39734480224 75350142376 150700284752 301400569504 386169479677 772338959354 1544677918708 3089355837416 6178711674832 12357423349664