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11161441104 = 24311237431237
BaseRepresentation
bin10100110010100011…
…00001001101010000
31001210212012221210120
422121101201031100
5140324312103404
65043312230240
7543406453422
oct123121411520
931725187716
1011161441104
1148083849a0
1221b5b3b380
13108b501028
1477c4d6812
15454d2d9d9
hex299461350

11161441104 has 160 divisors (see below), whose sum is σ = 32893323264. Its totient is φ = 3228234240.

The previous prime is 11161441087. The next prime is 11161441117. The reversal of 11161441104 is 40114416111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9022374 + ... + 9023610.

Almost surely, 211161441104 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 11161441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446661632).

11161441104 is an abundant number, since it is smaller than the sum of its proper divisors (21731882160).

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

11161441104 is a wasteful number, since it uses less digits than its factorization.

11161441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11161441104 its reverse (40114416111), we get a palindrome (51275857215).

The spelling of 11161441104 in words is "eleven billion, one hundred sixty-one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 743 759 1012 1104 1237 1486 1518 2024 2229 2474 2972 3036 3711 4048 4458 4948 5944 6072 7422 8173 8916 9896 11888 12144 13607 14844 16346 17089 17832 19792 24519 27214 28451 29688 32692 34178 35664 40821 49038 51267 54428 56902 59376 65384 68356 81642 85353 98076 102534 108856 113804 130768 136712 163284 170706 187979 196152 205068 217712 227608 273424 312961 326568 341412 375958 392304 410136 455216 563937 625922 653136 682824 751916 820272 919091 938883 1127874 1251844 1365648 1503832 1838182 1877766 2255748 2503688 2757273 3007664 3676364 3755532 4511496 5007376 5514546 7352728 7511064 9022992 10110001 11029092 14705456 15022128 20220002 21139093 22058184 30330003 40440004 42278186 44116368 60660006 63417279 80880008 84556372 121320012 126834558 161760016 169112744 232530023 242640024 253669116 338225488 465060046 485280048 507338232 697590069 930120092 1014676464 1395180138 1860240184 2790360276 3720480368 5580720552 11161441104