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1998003327840 = 253251317109239241
BaseRepresentation
bin11101000100110010010…
…001110101001101100000
321002000012021202101200100
4131010302101311031200
5230213402322442330
64125511533222400
7264231246033312
oct35046221651540
97060167671610
101998003327840
11700391877503
12283287331a00
131165459b3960
146c9bd61d7b2
1536e8ca76060
hex1d132475360

1998003327840 has 1152 divisors, whose sum is σ = 7911429926400. Its totient is φ = 454825082880.

The previous prime is 1998003327829. The next prime is 1998003327847. The reversal of 1998003327840 is 487233008991.

1998003327840 is a `hidden beast` number, since 199 + 80 + 0 + 332 + 7 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998003327847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8290470120 + ... + 8290470360.

It is an arithmetic number, because the mean of its divisors is an integer number (6867560700).

Almost surely, 21998003327840 is an apocalyptic number.

1998003327840 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 1998003327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955714963200).

1998003327840 is an abundant number, since it is smaller than the sum of its proper divisors (5913426598560).

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

1998003327840 is a wasteful number, since it uses less digits than its factorization.

1998003327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1998003327840 in words is "one trillion, nine hundred ninety-eight billion, three million, three hundred twenty-seven thousand, eight hundred forty".