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12323261645645 = 573295311433241
BaseRepresentation
bin1011001101010011101110…
…1000100000001101001101
31121122002111021220011110212
42303110323220200031031
53103401014440130040
642113121145012205
72411216624451626
oct263247350401515
947562437804425
1012323261645645
113a212a1a28835
1214703b7484065
136b5103869952
1430864027aa4d
15165852873d65
hexb353ba2034d

12323261645645 has 16 divisors (see below), whose sum is σ = 14995565809392. Its totient is φ = 9720266250240.

The previous prime is 12323261645623. The next prime is 12323261645729. The reversal of 12323261645645 is 54654616232321.

It can be written as a sum of positive squares in 8 ways, for example, as 1988714807524 + 10334546838121 = 1410218^2 + 3214739^2 .

It is not a de Polignac number, because 12323261645645 - 26 = 12323261645581 is a prime.

It is a super-3 number, since 3×123232616456453 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12323261645593 and 12323261645602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4638776 + ... + 6794465.

It is an arithmetic number, because the mean of its divisors is an integer number (937222863087).

Almost surely, 212323261645645 is an apocalyptic number.

It is an amenable number.

12323261645645 is a deficient number, since it is larger than the sum of its proper divisors (2672304163747).

12323261645645 is a wasteful number, since it uses less digits than its factorization.

12323261645645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436272.

The product of its digits is 6220800, while the sum is 50.

Adding to 12323261645645 its reverse (54654616232321), we get a palindrome (66977877877966).

The spelling of 12323261645645 in words is "twelve trillion, three hundred twenty-three billion, two hundred sixty-one million, six hundred forty-five thousand, six hundred forty-five".

Divisors: 1 5 73 365 2953 14765 215569 1077845 11433241 57166205 834626593 4173132965 33762360673 168811803365 2464652329129 12323261645645