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19984143584 = 2523191142159
BaseRepresentation
bin10010100111001001…
…011101010011100000
31220120201200200100002
4102213021131103200
5311411420043314
613103001315132
71305140263166
oct224711352340
956521620302
1019984143584
118525589949
123a58795aa8
131b66315542
14d78159236
157be687ade
hex4a725d4e0

19984143584 has 48 divisors (see below), whose sum is σ = 41269616640. Its totient is φ = 9507527040.

The previous prime is 19984143559. The next prime is 19984143587. The reversal of 19984143584 is 48534148991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19984143587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69497 + ... + 211655.

It is an arithmetic number, because the mean of its divisors is an integer number (859783680).

Almost surely, 219984143584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19984143584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634808320).

19984143584 is an abundant number, since it is smaller than the sum of its proper divisors (21285473056).

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

19984143584 is a wasteful number, since it uses less digits than its factorization.

19984143584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142383 (or 142375 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 56.

The spelling of 19984143584 in words is "nineteen billion, nine hundred eighty-four million, one hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 191 368 382 736 764 1528 3056 4393 6112 8786 17572 35144 70288 140576 142159 284318 568636 1137272 2274544 3269657 4549088 6539314 13078628 26157256 27152369 52314512 54304738 104629024 108609476 217218952 434437904 624504487 868875808 1249008974 2498017948 4996035896 9992071792 19984143584