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19282123432 = 23112132952837
BaseRepresentation
bin10001111101010011…
…011101101010101000
31211202210201100201201
4101331103131222220
5303442210422212
612505202453544
71251554226205
oct217523355250
954683640651
1019282123432
1181a528a800
1238a16642b4
131a83a497c0
14d0cc16cac
1577cc16b57
hex47d4ddaa8

19282123432 has 96 divisors (see below), whose sum is σ = 44272960200. Its totient is φ = 7811274240.

The previous prime is 19282123327. The next prime is 19282123433. The reversal of 19282123432 is 23432128291.

It can be written as a sum of positive squares in 4 ways, for example, as 6579480996 + 12702642436 = 81114^2 + 112706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19282123391 and 19282123400.

It is not an unprimeable number, because it can be changed into a prime (19282123433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338518 + ... + 391354.

Almost surely, 219282123432 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 19282123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136480100).

19282123432 is an abundant number, since it is smaller than the sum of its proper divisors (24990836768).

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

19282123432 is a wasteful number, since it uses less digits than its factorization.

19282123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52907 (or 52892 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The spelling of 19282123432 in words is "nineteen billion, two hundred eighty-two million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 121 143 232 242 286 319 377 484 572 638 754 968 1144 1276 1508 1573 2552 3016 3146 3509 4147 6292 7018 8294 12584 14036 16588 28072 33176 45617 52837 91234 105674 182468 211348 364936 422696 581207 686881 1162414 1373762 1532273 2324828 2747524 3064546 4649656 5495048 6129092 6393277 7555691 12258184 12786554 15111382 16855003 19919549 25573108 30222764 33710006 39839098 51146216 60445528 67420012 79678196 83112601 134840024 159356392 166225202 185405033 219115039 332450404 370810066 438230078 664900808 741620132 876460156 1483240264 1752920312 2410265429 4820530858 9641061716 19282123432