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14488795648 = 29192431823
BaseRepresentation
bin11010111111001100…
…10111101000000000
31101101202020002011001
431133212113220000
5214133112430043
610353413101344
71022021505505
oct153746275000
941352202131
1014488795648
116165602688
122984327854
13149b970182
149b63934ac
1559bed674d
hex35f997a00

14488795648 has 120 divisors (see below), whose sum is σ = 31280819328. Its totient is φ = 6699829248.

The previous prime is 14488795637. The next prime is 14488795681. The reversal of 14488795648 is 84659788441.

14488795648 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14488795648.

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 11 ways as a sum of consecutive naturals, for example, 7946865 + ... + 7948687.

Almost surely, 214488795648 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 14488795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640409664).

14488795648 is an abundant number, since it is smaller than the sum of its proper divisors (16792023680).

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

14488795648 is an equidigital number, since it uses as much as digits as its factorization.

14488795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1887 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 64.

The spelling of 14488795648 in words is "fourteen billion, four hundred eighty-eight million, seven hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 361 512 608 688 722 817 1216 1376 1444 1634 1823 2432 2752 2888 3268 3646 4864 5504 5776 6536 7292 9728 11008 11552 13072 14584 15523 22016 23104 26144 29168 31046 34637 46208 52288 58336 62092 69274 78389 92416 104576 116672 124184 138548 156778 184832 209152 233344 248368 277096 313556 418304 466688 496736 554192 627112 658103 933376 993472 1108384 1254224 1316206 1489391 1986944 2216768 2508448 2632412 2978782 3973888 4433536 5016896 5264824 5957564 7947776 8867072 10033792 10529648 11915128 17734144 20067584 21059296 23830256 28298429 40135168 42118592 47660512 56596858 84237184 95321024 113193716 168474368 190642048 226387432 336948736 381284096 452774864 762568192 905549728 1811099456 3622198912 7244397824 14488795648