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110394428160 = 2835167172147
BaseRepresentation
bin110011011010000000…
…1010100101100000000
3101112221120121000002110
41212310001110230000
53302041433200120
6122414155415320
710655451104532
oct1466401245400
9345846530073
10110394428160
11428aa85a8a5
121948aa54540
13a54413a353
1454b3737852
152d11a5a2e0
hex19b4054b00

110394428160 has 144 divisors (see below), whose sum is σ = 354685476096. Its totient is φ = 29262065664.

The previous prime is 110394428149. The next prime is 110394428201. The reversal of 110394428160 is 61824493011.

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 15 ways as a sum of consecutive naturals, for example, 555207 + ... + 727353.

It is an arithmetic number, because the mean of its divisors is an integer number (2463093584).

Almost surely, 2110394428160 is an apocalyptic number.

110394428160 is a gapful number since it is divisible by the number (10) 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 110394428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177342738048).

110394428160 is an abundant number, since it is smaller than the sum of its proper divisors (244291047936).

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

110394428160 is a wasteful number, since it uses less digits than its factorization.

110394428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172338 (or 172324 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 110394428160 in words is "one hundred ten billion, three hundred ninety-four million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 640 668 768 835 960 1002 1280 1336 1670 1920 2004 2505 2672 3340 3840 4008 5010 5344 6680 8016 10020 10688 13360 16032 20040 21376 26720 32064 40080 42752 53440 64128 80160 106880 128256 160320 172147 213760 320640 344294 516441 641280 688588 860735 1032882 1377176 1721470 2065764 2582205 2754352 3442940 4131528 5164410 5508704 6885880 8263056 10328820 11017408 13771760 16526112 20657640 22034816 27543520 28748549 33052224 41315280 44069632 55087040 57497098 66104448 82630560 86245647 110174080 114994196 132208896 143742745 165261120 172491294 220348160 229988392 287485490 330522240 344982588 431228235 459976784 574970980 661044480 689965176 862456470 919953568 1149941960 1379930352 1724912940 1839907136 2299883920 2759860704 3449825880 3679814272 4599767840 5519721408 6899651760 7359628544 9199535680 11039442816 13799303520 18399071360 22078885632 27598607040 36798142720 55197214080 110394428160