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13208193432 = 23327216372287
BaseRepresentation
bin11000100110100010…
…10000100110011000
31021002111112202011100
430103101100212120
5204022244142212
610022345231400
7645211535400
oct142321204630
937074482140
1013208193432
115668754245
122687492560
131326567495
148d4281800
15524878bdc
hex313450998

13208193432 has 144 divisors (see below), whose sum is σ = 41656174560. Its totient is φ = 3769815168.

The previous prime is 13208193431. The next prime is 13208193473. The reversal of 13208193432 is 23439180231.

13208193432 is a `hidden beast` number, since 1 + 3 + 208 + 19 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13208193431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5774193 + ... + 5776479.

It is an arithmetic number, because the mean of its divisors is an integer number (289278990).

Almost surely, 213208193432 is an apocalyptic number.

13208193432 is a gapful number since it is divisible by the number (12) 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 13208193432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828087280).

13208193432 is an abundant number, since it is smaller than the sum of its proper divisors (28447981128).

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

13208193432 is a wasteful number, since it uses less digits than its factorization.

13208193432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13208193432 in words is "thirteen billion, two hundred eight million, one hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1637 1764 2287 3274 3528 4574 4911 6548 6861 9148 9822 11459 13096 13722 14733 16009 18296 19644 20583 22918 27444 29466 32018 34377 39288 41166 45836 48027 54888 58932 64036 68754 80213 82332 91672 96054 103131 112063 117864 128072 137508 144081 160426 164664 192108 206262 224126 240639 275016 288162 320852 336189 384216 412524 448252 481278 576324 641704 672378 721917 825048 896504 962556 1008567 1152648 1344756 1443834 1925112 2017134 2689512 2887668 3743819 4034268 5775336 7487638 8068536 11231457 14975276 22462914 26206733 29950552 33694371 44925828 52413466 67388742 78620199 89851656 104826932 134777484 157240398 183447131 209653864 235860597 269554968 314480796 366894262 471721194 550341393 628961592 733788524 943442388 1100682786 1467577048 1651024179 1886884776 2201365572 3302048358 4402731144 6604096716 13208193432