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18838283005440 = 293251735778191
BaseRepresentation
bin1000100100010001000010…
…01010101010111000000000
32110200220220022222120102200
410102020201022222320000
54432121300422133230
6104022104315113200
73653010133343403
oct422104112527000
973626808876380
1018838283005440
1160032a8709618
122142b9aa42800
13a6859a131892
14491ac6273d3a
1522a061073160
hex1122212aae00

18838283005440 has 480 divisors, whose sum is σ = 65741145440256. Its totient is φ = 4985239633920.

The previous prime is 18838283005433. The next prime is 18838283005501. The reversal of 18838283005440 is 4450038283881.

18838283005440 is a `hidden beast` number, since 18 + 8 + 3 + 8 + 2 + 83 + 0 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299871745 + ... + 2299879935.

Almost surely, 218838283005440 is an apocalyptic number.

18838283005440 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 18838283005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32870572720128).

18838283005440 is an abundant number, since it is smaller than the sum of its proper divisors (46902862434816).

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

18838283005440 is a wasteful number, since it uses less digits than its factorization.

18838283005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18838283005440 in words is "eighteen trillion, eight hundred thirty-eight billion, two hundred eighty-three million, five thousand, four hundred forty".