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1998665370240 = 273571125153861
BaseRepresentation
bin11101000101011001101…
…111010100101010000000
321002001220102111122010020
4131011121233110222000
5230221231313321430
64130101343133440
7264253535224140
oct35053157245200
97061812448106
101998665370240
117006a1550790
12283430ba4280
1311661cbc3016
146ca43516920
1536ecac4bb10
hex1d159bd4a80

1998665370240 has 512 divisors, whose sum is σ = 7974540564480. Its totient is φ = 413644800000.

The previous prime is 1998665370181. The next prime is 1998665370259. The reversal of 1998665370240 is 420735668991.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 37080910 + ... + 37134770.

It is an arithmetic number, because the mean of its divisors is an integer number (15575274540).

It is a 1-persistent number, because it is pandigital, but 2⋅1998665370240 = 3997330740480 is not.

Almost surely, 21998665370240 is an apocalyptic number.

1998665370240 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 1998665370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987270282240).

1998665370240 is an abundant number, since it is smaller than the sum of its proper divisors (5975875194240).

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

1998665370240 is a wasteful number, since it uses less digits than its factorization.

1998665370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54152 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1998665370240 in words is "one trillion, nine hundred ninety-eight billion, six hundred sixty-five million, three hundred seventy thousand, two hundred forty".