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10994460288 = 27374199761
BaseRepresentation
bin10100011110101001…
…00010011010000000
31001101020000110011220
422033110202122000
5140004040212123
65014545235040
7536311241040
oct121724423200
931336013156
1010994460288
1147320a4819
12216a032a80
131062a38006
1476426b720
15445347ce3
hex28f522680

10994460288 has 128 divisors (see below), whose sum is σ = 34190432640. Its totient is φ = 3064627200.

The previous prime is 10994460283. The next prime is 10994460293. The reversal of 10994460288 is 88206449901.

It is an interprime number because it is at equal distance from previous prime (10994460283) and next prime (10994460293).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10994460288.

It is not an unprimeable number, because it can be changed into a prime (10994460283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60328 + ... + 160088.

It is an arithmetic number, because the mean of its divisors is an integer number (267112755).

Almost surely, 210994460288 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 10994460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095216320).

10994460288 is an abundant number, since it is smaller than the sum of its proper divisors (23195972352).

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

10994460288 is an equidigital number, since it uses as much as digits as its factorization.

10994460288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99826 (or 99814 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10994460288 in words is "ten billion, nine hundred ninety-four million, four hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 5248 6888 7872 9184 13776 15744 18368 27552 36736 55104 99761 110208 199522 299283 399044 598566 698327 798088 1197132 1396654 1596176 2094981 2394264 2793308 3192352 4090201 4189962 4788528 5586616 6384704 8180402 8379924 9577056 11173232 12270603 12769408 16360804 16759848 19154112 22346464 24541206 28631407 32721608 33519696 38308224 44692928 49082412 57262814 65443216 67039392 85894221 89385856 98164824 114525628 130886432 134078784 171788442 196329648 229051256 261772864 268157568 343576884 392659296 458102512 523545728 687153768 785318592 916205024 1374307536 1570637184 1832410048 2748615072 3664820096 5497230144 10994460288