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12327138403600 = 245237832914757
BaseRepresentation
bin1011001101100010001010…
…1101001010010100010000
31121122110111110200212121211
42303120202231022110100
53103431434412403400
642115001553225504
72411414660402146
oct263304255122420
947573443625554
1012327138403600
113a22a01296429
1214710b9862294
136b55a0a9a877
143088cb0ad596
151659ccda2dba
hexb3622b4a510

12327138403600 has 60 divisors (see below), whose sum is σ = 30416381132644. Its totient is φ = 4797588994560.

The previous prime is 12327138403589. The next prime is 12327138403631. The reversal of 12327138403600 is 630483172321.

It can be written as a sum of positive squares in 6 ways, for example, as 395474961424 + 11931663442176 = 628868^2 + 3454224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416442579 + ... + 416472178.

Almost surely, 212327138403600 is an apocalyptic number.

12327138403600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12327138403600 is an abundant number, since it is smaller than the sum of its proper divisors (18089242729044).

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

12327138403600 is a wasteful number, since it uses less digits than its factorization.

12327138403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832914812 (or 832914801 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 12327138403600 in words is "twelve trillion, three hundred twenty-seven billion, one hundred thirty-eight million, four hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 832914757 1665829514 3331659028 4164573785 6663318056 8329147570 13326636112 16658295140 20822868925 30817846009 33316590280 41645737850 61635692018 66633180560 83291475700 123271384036 154089230045 166582951400 246542768072 308178460090 333165902800 493085536144 616356920180 770446150225 1232713840360 1540892300450 2465427680720 3081784600900 6163569201800 12327138403600