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18423719105796 = 2232709210092
BaseRepresentation
bin1000011000001100110110…
…01110111001010100000100
32102020021211122212102222100
410030012123032321110010
54403323234042341141
6103103423440032100
73611032635341514
oct414063316712404
972207748772870
1018423719105796
115963501147924
122096782302630
13a38470418654
144799d9b6b844
1521e39acaa0b6
hex10c19b3b9504

18423719105796 has 81 divisors (see below), whose sum is σ = 46683112619871. Its totient is φ = 6126499991808.

The previous prime is 18423719105789. The next prime is 18423719105839. The reversal of 18423719105796 is 69750191732481.

The square root of 18423719105796 is 4292286.

It is a perfect power (a square), and thus also a powerful number.

18423719105796 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 37 + 19 + 10 + 579 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6040358105796 + 12383361000000 = 2457714^2 + 3519000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18259384140 + ... + 18259385148.

It is a 1-persistent number, because it is pandigital, but 2⋅18423719105796 = 36847438211592 is not.

Almost surely, 218423719105796 is an apocalyptic number.

18423719105796 is the 4292286-th square number.

It is an amenable number.

18423719105796 is an abundant number, since it is smaller than the sum of its proper divisors (28259393514075).

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

18423719105796 is an frugal number, since it uses more digits than its factorization.

18423719105796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 18423719105796 in words is "eighteen trillion, four hundred twenty-three billion, seven hundred nineteen million, one hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 709 1009 1418 2018 2127 2836 3027 4036 4254 6054 6381 8508 9081 12108 12762 18162 25524 36324 502681 715381 1005362 1018081 1430762 1508043 2010724 2036162 2146143 2861524 3016086 3054243 4072324 4292286 4524129 6032172 6108486 6438429 8584572 9048258 9162729 12216972 12876858 18096516 18325458 25753716 36650916 507205129 721819429 1014410258 1443638858 1521615387 2028820516 2165458287 2887277716 3043230774 4330916574 4564846161 6086461548 6496374861 8661833148 9129692322 12992749722 18259384644 25985499444 511769975161 1023539950322 1535309925483 2047079900644 3070619850966 4605929776449 6141239701932 9211859552898 18423719105796