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19842384218328 = 23327471583529157
BaseRepresentation
bin1001000001011111010100…
…10000110100100011011000
32121020220122212120012100100
410200233222100310203120
510100044200324441303
6110111244312535400
74115364531002340
oct440575220644330
977226585505310
1019842384218328
116360120668451
1222857063b1560
13b0c189c986b9
144c853b259d20
1524622c8a38a3
hex120bea4348d8

19842384218328 has 192 divisors, whose sum is σ = 62763388047360. Its totient is φ = 5545114622208.

The previous prime is 19842384218309. The next prime is 19842384218333. The reversal of 19842384218328 is 82381248324891.

19842384218328 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 2 + 384 + 218 + 32 + 8 = 666.

It is a super-2 number, since 2×198423842183282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37233526 + ... + 37762682.

It is an arithmetic number, because the mean of its divisors is an integer number (326892646080).

Almost surely, 219842384218328 is an apocalyptic number.

19842384218328 is a gapful number since it is divisible by the number (18) 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 19842384218328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381694023680).

19842384218328 is an abundant number, since it is smaller than the sum of its proper divisors (42921003829032).

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

19842384218328 is a wasteful number, since it uses less digits than its factorization.

19842384218328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530806 (or 530799 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 19842384218328 in words is "nineteen trillion, eight hundred forty-two billion, three hundred eighty-four million, two hundred eighteen thousand, three hundred twenty-eight".