Search a number
-
+
11192120184 = 233739371451
BaseRepresentation
bin10100110110001101…
…00011001101111000
31001212222221121120210
422123012203031320
5140410140321214
65050325551120
7544231311000
oct123306431570
931788847523
1011192120184
114823729603
1222042754a0
13109498312b
14782601000
1545788db59
hex29b1a3378

11192120184 has 128 divisors (see below), whose sum is σ = 32687424000. Its totient is φ = 3192134400.

The previous prime is 11192120167. The next prime is 11192120197. The reversal of 11192120184 is 48102129111.

11192120184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 7712659 + ... + 7714109.

It is an arithmetic number, because the mean of its divisors is an integer number (255370500).

Almost surely, 211192120184 is an apocalyptic number.

11192120184 is a gapful number since it is divisible by the number (14) 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 11192120184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343712000).

11192120184 is an abundant number, since it is smaller than the sum of its proper divisors (21495303816).

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

11192120184 is a wasteful number, since it uses less digits than its factorization.

11192120184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

Adding to 11192120184 its reverse (48102129111), we get a palindrome (59294249295).

The spelling of 11192120184 in words is "eleven billion, one hundred ninety-two million, one hundred twenty thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 937 1029 1176 1372 1451 1874 2058 2744 2811 2902 3748 4116 4353 5622 5804 6559 7496 8232 8706 10157 11244 11608 13118 17412 19677 20314 22488 26236 30471 34824 39354 40628 45913 52472 60942 71099 78708 81256 91826 121884 137739 142198 157416 183652 213297 243768 275478 284396 321391 367304 426594 497693 550956 568792 642782 853188 964173 995386 1101912 1285564 1359587 1493079 1706376 1928346 1990772 2571128 2719174 2986158 3856692 3981544 4078761 5438348 5972316 7713384 8157522 9517109 10876696 11944632 16315044 19034218 28551327 32630088 38068436 57102654 66619763 76136872 114205308 133239526 199859289 228410616 266479052 399718578 466338341 532958104 799437156 932676682 1399015023 1598874312 1865353364 2798030046 3730706728 5596060092 11192120184