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12378020832 = 25347960449
BaseRepresentation
bin10111000011100100…
…11001101111100000
31011221122102121110000
423201302121233200
5200322233131312
65404131540000
7615511304202
oct134162315740
934848377400
1012378020832
115282085291
12249545a600
13122357bba8
14855d00772
154c6a41adc
hex2e1c99be0

12378020832 has 120 divisors (see below), whose sum is σ = 36864828000. Its totient is φ = 4073711616.

The previous prime is 12378020813. The next prime is 12378020867. The reversal of 12378020832 is 23802087321.

It is a happy number.

12378020832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174544 + ... + 234992.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 212378020832 is an apocalyptic number.

12378020832 is a gapful number since it is divisible by the number (12) 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 12378020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432414000).

12378020832 is an abundant number, since it is smaller than the sum of its proper divisors (24486807168).

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

12378020832 is an equidigital number, since it uses as much as digits as its factorization.

12378020832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60550 (or 60533 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12378020832 in words is "twelve billion, three hundred seventy-eight million, twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 5688 6399 7584 8532 11376 12798 17064 22752 25596 34128 51192 60449 68256 102384 120898 181347 204768 241796 362694 483592 544041 725388 967184 1088082 1450776 1632123 1934368 2176164 2901552 3264246 4352328 4775471 4896369 5803104 6528492 8704656 9550942 9792738 13056984 14326413 17409312 19101884 19585476 26113968 28652826 38203768 39170952 42979239 52227936 57305652 76407536 78341904 85958478 114611304 128937717 152815072 156683808 171916956 229222608 257875434 343833912 386813151 458445216 515750868 687667824 773626302 1031501736 1375335648 1547252604 2063003472 3094505208 4126006944 6189010416 12378020832