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18843345404928 = 210371119127317
BaseRepresentation
bin1000100100011010011101…
…11010001100010000000000
32110201101222010210010000000
410102031032322030100000
54432212132410424203
6104024302520000000
73653246444130522
oct422151672142000
973641863703000
1018843345404928
116005466266250
122143b72300000
13a68bc5b9a635
14492046739a12
1522a25a7034a3
hex11234ee8c400

18843345404928 has 1408 divisors, whose sum is σ = 65590360473600. Its totient is φ = 5350047252480.

The previous prime is 18843345404903. The next prime is 18843345404951. The reversal of 18843345404928 is 82940454334881.

18843345404928 is a `hidden beast` number, since 1 + 8 + 8 + 43 + 3 + 4 + 540 + 49 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59442729826 + ... + 59442730142.

Almost surely, 218843345404928 is an apocalyptic number.

18843345404928 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 18843345404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32795180236800).

18843345404928 is an abundant number, since it is smaller than the sum of its proper divisors (46747015068672).

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

18843345404928 is a wasteful number, since it uses less digits than its factorization.

18843345404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 18843345404928 in words is "eighteen trillion, eight hundred forty-three billion, three hundred forty-five million, four hundred four thousand, nine hundred twenty-eight".