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18084619344 = 24311218117203
BaseRepresentation
bin10000110101111011…
…010110010001010000
31201200100101211221110
4100311323112101100
5244014130304334
612150304053320
71210103504511
oct206573262120
951610354843
1018084619344
117740329200
123608604240
13192291a3bc
14c37b76a08
1570ca20ae9
hex435ed6450

18084619344 has 120 divisors (see below), whose sum is σ = 51638562976. Its totient is φ = 5449593600.

The previous prime is 18084619313. The next prime is 18084619381. The reversal of 18084619344 is 44391648081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18084619293 and 18084619302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042647 + ... + 1059849.

Almost surely, 218084619344 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 18084619344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819281488).

18084619344 is an abundant number, since it is smaller than the sum of its proper divisors (33553943632).

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

18084619344 is a wasteful number, since it uses less digits than its factorization.

18084619344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17417 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 18084619344 in words is "eighteen billion, eighty-four million, six hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 181 242 264 362 363 484 528 543 724 726 968 1086 1448 1452 1936 1991 2172 2896 2904 3982 4344 5808 5973 7964 8688 11946 15928 17203 21901 23892 31856 34406 43802 47784 51609 65703 68812 87604 95568 103218 131406 137624 175208 189233 206436 262812 275248 350416 378466 412872 525624 567699 756932 825744 1051248 1135398 1513864 2081563 2270796 3027728 3113743 4163126 4541592 6227486 6244689 8326252 9083184 9341229 12454972 12489378 16652504 18682458 24909944 24978756 33305008 34251173 37364916 49819888 49957512 68502346 74729832 99915024 102753519 137004692 149459664 205507038 274009384 376762903 411014076 548018768 753525806 822028152 1130288709 1507051612 1644056304 2260577418 3014103224 4521154836 6028206448 9042309672 18084619344