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1989247048992 = 253279716760913
BaseRepresentation
bin11100111100101000010…
…111010001110100100000
321001011121001021100020100
4130330220113101310200
5230042434221031432
64121503015542400
7263501252633460
oct34745027216440
97034531240210
101989247048992
116a76a9110615
1228164298aa00
1311577b888178
146c3cc72bba0
1536b28e8d07c
hex1cf285d1d20

1989247048992 has 288 divisors, whose sum is σ = 6570922804992. Its totient is φ = 559119532032.

The previous prime is 1989247048963. The next prime is 1989247049003. The reversal of 1989247048992 is 2998407429891.

1989247048992 is a `hidden beast` number, since 19 + 8 + 9 + 2 + 47 + 0 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1989247048992.

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 47 ways as a sum of consecutive naturals, for example, 32626728 + ... + 32687640.

It is an arithmetic number, because the mean of its divisors is an integer number (22815704184).

Almost surely, 21989247048992 is an apocalyptic number.

1989247048992 is a gapful number since it is divisible by the number (12) 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 1989247048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285461402496).

1989247048992 is an abundant number, since it is smaller than the sum of its proper divisors (4581675756000).

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

1989247048992 is a wasteful number, since it uses less digits than its factorization.

1989247048992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61200 (or 61189 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1989247048992 in words is "one trillion, nine hundred eighty-nine billion, two hundred forty-seven million, forty-eight thousand, nine hundred ninety-two".