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19128589128 = 23331153151901
BaseRepresentation
bin10001110100001001…
…110001101101001000
31211101002211000021000
4101310021301231020
5303133404323003
612442040015000
71245011216265
oct216411615510
954332730230
1019128589128
118126654150
12385a161460
131a5acb0cbc
14cd668c26c
1576e4da1a3
hex474271b48

19128589128 has 128 divisors (see below), whose sum is σ = 59059497600. Its totient is φ = 5687136000.

The previous prime is 19128589097. The next prime is 19128589187. The reversal of 19128589128 is 82198582191.

19128589128 is a `hidden beast` number, since 19 + 1 + 28 + 589 + 1 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49978 + ... + 201878.

It is an arithmetic number, because the mean of its divisors is an integer number (461402325).

Almost surely, 219128589128 is an apocalyptic number.

19128589128 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 19128589128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529748800).

19128589128 is an abundant number, since it is smaller than the sum of its proper divisors (39930908472).

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

19128589128 is a wasteful number, since it uses less digits than its factorization.

19128589128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151980 (or 151970 counting only the distinct ones).

The product of its digits is 829440, while the sum is 54.

The spelling of 19128589128 in words is "nineteen billion, one hundred twenty-eight million, five hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 132 159 198 212 216 264 297 318 396 424 477 583 594 636 792 954 1166 1188 1272 1431 1749 1908 2332 2376 2862 3498 3816 4664 5247 5724 6996 10494 11448 13992 15741 20988 31482 41976 62964 125928 151901 303802 455703 607604 911406 1215208 1367109 1670911 1822812 2734218 3341822 3645624 4101327 5012733 5468436 6683644 8050753 8202654 10025466 10936872 13367288 15038199 16101506 16405308 20050932 24152259 30076398 32203012 32810616 40101864 45114597 48304518 60152796 64406024 72456777 88558283 90229194 96609036 120305592 144913554 177116566 180458388 193218072 217370331 265674849 289827108 354233132 360916776 434740662 531349698 579654216 708466264 797024547 869481324 1062699396 1594049094 1738962648 2125398792 2391073641 3188098188 4782147282 6376196376 9564294564 19128589128