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1998546132480 = 29353111374287
BaseRepresentation
bin11101000101010010101…
…000011101111000000000
321002001121010010201122220
4131011102220131320000
5230221010302214410
64130041443331040
7264250556556162
oct35052250357000
97061533121586
101998546132480
1170064020a687
122833b9080a80
131166012a5031
146ca31758932
1536ec0547070
hex1d152a1de00

1998546132480 has 320 divisors, whose sum is σ = 6653656424448. Its totient is φ = 511182766080.

The previous prime is 1998546132463. The next prime is 1998546132493. The reversal of 1998546132480 is 842316458991.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26865897 + ... + 26940183.

Almost surely, 21998546132480 is an apocalyptic number.

1998546132480 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 1998546132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326828212224).

1998546132480 is an abundant number, since it is smaller than the sum of its proper divisors (4655110291968).

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

1998546132480 is a wasteful number, since it uses less digits than its factorization.

1998546132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74457 (or 74441 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 1998546132480 in words is "one trillion, nine hundred ninety-eight billion, five hundred forty-six million, one hundred thirty-two thousand, four hundred eighty".