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11184104484 = 2234731159073
BaseRepresentation
bin10100110101001111…
…11110010000100100
31001212102212101010000
422122213332100210
5140401112320414
65045442101300
7544103214420
oct123247762044
931772771100
1011184104484
11481a154263
12220164a830
131093107807
14781515b80
15456d08b09
hex29a9fe424

11184104484 has 120 divisors (see below), whose sum is σ = 34492333568. Its totient is φ = 3092359680.

The previous prime is 11184104461. The next prime is 11184104489. The reversal of 11184104484 is 48440148111.

11184104484 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 (36).

It is not an unprimeable number, because it can be changed into a prime (11184104489) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9229 + ... + 149844.

Almost surely, 211184104484 is an apocalyptic number.

11184104484 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 11184104484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246166784).

11184104484 is an abundant number, since it is smaller than the sum of its proper divisors (23308229084).

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

11184104484 is a wasteful number, since it uses less digits than its factorization.

11184104484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159127 (or 159116 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 11184104484 in words is "eleven billion, one hundred eighty-four million, one hundred four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 23436 35154 70308 159073 318146 477219 636292 954438 1113511 1431657 1908876 2227022 2863314 3340533 4294971 4454044 4931263 5726628 6681066 8589942 9862526 10021599 12884913 13362132 14793789 17179884 19725052 20043198 25769826 29587578 30064797 34518841 40086396 44381367 51539652 59175156 60129594 69037682 88762734 90194391 103556523 120259188 133144101 138075364 177525468 180388782 207113046 266288202 310669569 360777564 399432303 414226092 532576404 621339138 798864606 932008707 1242678276 1597729212 1864017414 2796026121 3728034828 5592052242 11184104484