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1998327443904 = 26351188313229
BaseRepresentation
bin11101000101000101100…
…110001111000111000000
321002001000212122012100000
4131011011212033013000
5230220033311201104
64130004032200000
7264242263004151
oct35050546170700
97061025565300
101998327443904
11700538822720
12283357999000
13116597ba64cc
146ca106ad928
1536eab24a639
hex1d14598f1c0

1998327443904 has 336 divisors, whose sum is σ = 6487815035520. Its totient is φ = 604822256640.

The previous prime is 1998327443891. The next prime is 1998327443929. The reversal of 1998327443904 is 4093447238991.

1998327443904 is a `hidden beast` number, since 1 + 9 + 9 + 83 + 27 + 443 + 90 + 4 = 666.

It is a super-2 number, since 2×19983274439042 (a number of 25 digits) contains 22 as substring.

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, 151049962 + ... + 151063190.

It is an arithmetic number, because the mean of its divisors is an integer number (19308973320).

Almost surely, 21998327443904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998327443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243907517760).

1998327443904 is an abundant number, since it is smaller than the sum of its proper divisors (4489487591616).

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

1998327443904 is a wasteful number, since it uses less digits than its factorization.

1998327443904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14150 (or 14128 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 1998327443904 in words is "one trillion, nine hundred ninety-eight billion, three hundred twenty-seven million, four hundred forty-three thousand, nine hundred four".