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12484048816000 = 27531811430841
BaseRepresentation
bin1011010110101010101101…
…0010111000011110000000
31122012110111211022201012101
42311222223102320132000
53114014312444103000
642315032020040144
72425641240035266
oct265525322703600
948173454281171
1012484048816000
113a83501109703
1214975aa833054
136c7318c16938
1431233453a436
15169b134a1e6a
hexb5aab4b8780

12484048816000 has 128 divisors (see below), whose sum is σ = 31055677305120. Its totient is φ = 4990850560000.

The previous prime is 12484048815983. The next prime is 12484048816003. The reversal of 12484048816000 is 61884048421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12484048816003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28760580 + ... + 29191420.

Almost surely, 212484048816000 is an apocalyptic number.

12484048816000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12484048816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527838652560).

12484048816000 is an abundant number, since it is smaller than the sum of its proper divisors (18571628489120).

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

12484048816000 is an equidigital number, since it uses as much as digits as its factorization.

12484048816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432681 (or 432659 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 12484048816000 in words is "twelve trillion, four hundred eighty-four billion, forty-eight million, eight hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 1811 2000 3200 3622 4000 7244 8000 9055 14488 16000 18110 28976 36220 45275 57952 72440 90550 115904 144880 181100 226375 231808 289760 362200 430841 452750 579520 724400 861682 905500 1159040 1448800 1723364 1811000 2154205 2897600 3446728 3622000 4308410 5795200 6893456 7244000 8616820 10771025 13786912 14488000 17233640 21542050 27573824 28976000 34467280 43084100 53855125 55147648 68934560 86168200 107710250 137869120 172336400 215420500 275738240 344672800 430841000 689345600 780253051 861682000 1378691200 1560506102 1723364000 3121012204 3446728000 3901265255 6242024408 6893456000 7802530510 12484048816 15605061020 19506326275 24968097632 31210122040 39012652550 49936195264 62420244080 78025305100 97531631375 99872390528 124840488160 156050610200 195063262750 249680976320 312101220400 390126525500 499361952640 624202440800 780253051000 1248404881600 1560506102000 2496809763200 3121012204000 6242024408000 12484048816000