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11848841728 = 29672111637
BaseRepresentation
bin10110000100011111…
…01111101000000000
31010120202200112011221
423002033233220000
5143231300413403
65235425444424
7566424331033
oct130217575000
933522615157
1011848841728
1150303a9189
1223681a0714
13116aa4b669
1480591101a
15495362dbd
hex2c23efa00

11848841728 has 80 divisors (see below), whose sum is σ = 24156516384. Its totient is φ = 5804789760.

The previous prime is 11848841681. The next prime is 11848841729. The reversal of 11848841728 is 82714884811.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11848841729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7237326 + ... + 7238962.

Almost surely, 211848841728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11848841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078258192).

11848841728 is an abundant number, since it is smaller than the sum of its proper divisors (12307674656).

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

11848841728 is an equidigital number, since it uses as much as digits as its factorization.

11848841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1917 counting only the distinct ones).

The product of its digits is 917504, while the sum is 52.

The spelling of 11848841728 in words is "eleven billion, eight hundred forty-eight million, eight hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 211 256 268 422 512 536 844 1072 1637 1688 2144 3274 3376 4288 6548 6752 8576 13096 13504 14137 17152 26192 27008 28274 34304 52384 54016 56548 104768 108032 109679 113096 209536 219358 226192 345407 419072 438716 452384 690814 838144 877432 904768 1381628 1754864 1809536 2763256 3509728 3619072 5526512 7019456 7238144 11053024 14038912 22106048 23142269 28077824 44212096 46284538 56155648 88424192 92569076 176848384 185138152 370276304 740552608 1481105216 2962210432 5924420864 11848841728