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12324315540560 = 245179061996721
BaseRepresentation
bin1011001101010111101001…
…1100110010110001010000
31121122012012201222120111212
42303111322130302301100
53103410144234244220
642113413513355252
72411255012431562
oct263257234626120
947565181876455
1012324315540560
113a21792912671
121470650408b28
136b5240cc6cca
14308700217332
151658b514e0c5
hexb357a732c50

12324315540560 has 40 divisors (see below), whose sum is σ = 30339565025256. Its totient is φ = 4639742320640.

The previous prime is 12324315540499. The next prime is 12324315540583. The reversal of 12324315540560 is 6504551342321.

12324315540560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4400563453504 + 7923752087056 = 2097752^2 + 2814916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123243155405602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4530997001 + ... + 4530999720.

Almost surely, 212324315540560 is an apocalyptic number.

12324315540560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324315540560 is an abundant number, since it is smaller than the sum of its proper divisors (18015249484696).

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

12324315540560 is a wasteful number, since it uses less digits than its factorization.

12324315540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061996751 (or 9061996745 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 12324315540560 its reverse (6504551342321), we get a palindrome (18828866882881).

The spelling of 12324315540560 in words is "twelve trillion, three hundred twenty-four billion, three hundred fifteen million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9061996721 18123993442 36247986884 45309983605 72495973768 90619967210 144991947536 154053944257 181239934420 308107888514 362479868840 616215777028 724959737680 770269721285 1232431554056 1540539442570 2464863108112 3081078885140 6162157770280 12324315540560