Search a number
-
+
11193924096 = 293223105619
BaseRepresentation
bin10100110110011010…
…11011101000000000
31001220010100021002100
422123031123220000
5140411121032341
65050432350400
7544252533135
oct123315335000
931803307070
1011193924096
114824750943
1222049a5400
131095165234
1478295058c
15457ae83b6
hex29b35ba00

11193924096 has 120 divisors (see below), whose sum is σ = 33711369120. Its totient is φ = 3569043456.

The previous prime is 11193924083. The next prime is 11193924097. The reversal of 11193924096 is 69042939111.

It is not an unprimeable number, because it can be changed into a prime (11193924097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53175 + ... + 158793.

It is an arithmetic number, because the mean of its divisors is an integer number (280928076).

Almost surely, 211193924096 is an apocalyptic number.

11193924096 is a gapful number since it is divisible by the number (16) 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 11193924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855684560).

11193924096 is an abundant number, since it is smaller than the sum of its proper divisors (22517445024).

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

11193924096 is a wasteful number, since it uses less digits than its factorization.

11193924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105666 (or 105647 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 11193924096 in words is "eleven billion, one hundred ninety-three million, nine hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 26496 35328 52992 105619 105984 211238 316857 422476 633714 844952 950571 1267428 1689904 1901142 2429237 2534856 3379808 3802284 4858474 5069712 6759616 7287711 7604568 9716948 10139424 13519232 14575422 15209136 19433896 20278848 21863133 27038464 29150844 30418272 38867792 40557696 43726266 54076928 58301688 60836544 77735584 81115392 87452532 116603376 121673088 155471168 162230784 174905064 233206752 243346176 310942336 349810128 466413504 486692352 621884672 699620256 932827008 1243769344 1399240512 1865654016 2798481024 3731308032 5596962048 11193924096