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12327853440 = 27357917251
BaseRepresentation
bin10110111101100110…
…00001110110000000
31011211011000211201110
423132303001312000
5200221412302230
65355140403320
7614332011450
oct133663016600
934734024643
1012327853440
11525682a831
1224806a6540
131216065546
1484d3a1d60
154c24324b0
hex2decc1d80

12327853440 has 128 divisors (see below), whose sum is σ = 44908657920. Its totient is φ = 2817792000.

The previous prime is 12327853393. The next prime is 12327853451. The reversal of 12327853440 is 4435872321.

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

It is a super-3 number, since 3×123278534403 (a number of 31 digits) contains 333 as substring.

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, 445186 + ... + 472065.

It is an arithmetic number, because the mean of its divisors is an integer number (350848890).

Almost surely, 212327853440 is an apocalyptic number.

12327853440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12327853440 is an abundant number, since it is smaller than the sum of its proper divisors (32580804480).

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

12327853440 is an equidigital number, since it uses as much as digits as its factorization.

12327853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917280 (or 917268 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 12327853440 in words is "twelve billion, three hundred twenty-seven million, eight hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 917251 1834502 2751753 3669004 4586255 5503506 6420757 7338008 9172510 11007012 12841514 13758765 14676016 18345020 19262271 22014024 25683028 27517530 29352032 32103785 36690040 38524542 44028048 51366056 55035060 58704064 64207570 73380080 77049084 88056096 96311355 102732112 110070120 117408128 128415140 146760160 154098168 176112192 192622710 205464224 220140240 256830280 293520320 308196336 352224384 385245420 410928448 440280480 513660560 587040640 616392672 770490840 821856896 880560960 1027321120 1232785344 1540981680 1761121920 2054642240 2465570688 3081963360 4109284480 6163926720 12327853440