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1989435168 = 2537731131
BaseRepresentation
bin111011010010100…
…0101111100100000
312010122110210000000
41312211011330200
513033243411133
6525224300000
7100204630350
oct16645057440
95118423000
101989435168
11930a910a6
12476311600
13259218696
1414c308b60
15b99c7413
hex76945f20

1989435168 has 384 divisors, whose sum is σ = 6982778880. Its totient is φ = 545875200.

The previous prime is 1989435167. The next prime is 1989435179. The reversal of 1989435168 is 8615349891.

1989435168 is a `hidden beast` number, since 1 + 9 + 89 + 43 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1989435167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15186463 + ... + 15186593.

It is an arithmetic number, because the mean of its divisors is an integer number (18184320).

Almost surely, 21989435168 is an apocalyptic number.

1989435168 is a gapful number since it is divisible by the number (18) 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 1989435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491389440).

1989435168 is an abundant number, since it is smaller than the sum of its proper divisors (4993343712).

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

1989435168 is an equidigital number, since it uses as much as digits as its factorization.

1989435168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1989435168 is about 44603.0847363722. The cubic root of 1989435168 is about 1257.6986563825.

The spelling of 1989435168 in words is "one billion, nine hundred eighty-nine million, four hundred thirty-five thousand, one hundred sixty-eight".