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1889042343552 = 2732713173121103
BaseRepresentation
bin11011011111010011101…
…100101010011010000000
320200120221121102212220200
4123133103230222122000
5221422224314443202
64003451501205200
7253323141662220
oct33372354523200
96616847385820
101889042343552
11669158179271
12266138560800
1310919c834760
1467604422080
1534211cb9e1c
hex1b7d3b2a680

1889042343552 has 1152 divisors, whose sum is σ = 7326429626880. Its totient is φ = 453365268480.

The previous prime is 1889042343533. The next prime is 1889042343571. The reversal of 1889042343552 is 2553432409881.

1889042343552 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 0 + 42 + 3 + 43 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1889042343533) and next prime (1889042343571).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1712639833 + ... + 1712640935.

It is an arithmetic number, because the mean of its divisors is an integer number (6359747940).

Almost surely, 21889042343552 is an apocalyptic number.

1889042343552 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 1889042343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663214813440).

1889042343552 is an abundant number, since it is smaller than the sum of its proper divisors (5437387283328).

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

1889042343552 is a wasteful number, since it uses less digits than its factorization.

1889042343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1889042343552 in words is "one trillion, eight hundred eighty-nine billion, forty-two million, three hundred forty-three thousand, five hundred fifty-two".