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19828432128 = 283223115777
BaseRepresentation
bin10010011101110111…
…011101110100000000
31220011212200201101010
4102131313131310000
5311102034312003
613035320040520
71301236615011
oct223567356400
956155621333
1019828432128
1184556a659a
123a14603140
131b3cc96a9b
14d615c5008
157b0b7b003
hex49ddddd00

19828432128 has 72 divisors (see below), whose sum is σ = 53009651968. Its totient is φ = 6579781632.

The previous prime is 19828432123. The next prime is 19828432153. The reversal of 19828432128 is 82123482891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19828432123) 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, 113376 + ... + 229152.

Almost surely, 219828432128 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 19828432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26504825984).

19828432128 is an abundant number, since it is smaller than the sum of its proper divisors (33181219840).

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

19828432128 is a wasteful number, since it uses less digits than its factorization.

19828432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116019 (or 116005 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 19828432128 in words is "nineteen billion, eight hundred twenty-eight million, four hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 669 768 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 115777 171264 231554 347331 463108 694662 926216 1389324 1852432 2778648 3704864 5557296 7409728 11114592 14819456 22229184 25818271 29638912 44458368 51636542 77454813 88916736 103273084 154909626 206546168 309819252 413092336 619638504 826184672 1239277008 1652369344 2478554016 3304738688 4957108032 6609477376 9914216064 19828432128