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132180834492 = 223272367340381
BaseRepresentation
bin111101100011010010…
…1110111100010111100
3110122011220120010010200
41323012211313202330
54131201243200432
6140420102003500
712356364361260
oct1730645674274
9418156503120
10132180834492
115106a6a9393
122174b116590
13c606955845
14657cd980a0
153689546a7c
hex1ec69778bc

132180834492 has 144 divisors (see below), whose sum is σ = 404406492672. Its totient is φ = 35584686720.

The previous prime is 132180834449. The next prime is 132180834509. The reversal of 132180834492 is 294438081231.

132180834492 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 80 + 83 + 4 + 492 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218142 + ... + 558522.

Almost surely, 2132180834492 is an apocalyptic number.

132180834492 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 132180834492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202203246336).

132180834492 is an abundant number, since it is smaller than the sum of its proper divisors (272225658180).

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

132180834492 is a wasteful number, since it uses less digits than its factorization.

132180834492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340488 (or 340483 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 132180834492 in words is "one hundred thirty-two billion, one hundred eighty million, eight hundred thirty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 126 134 138 161 201 207 252 268 276 322 402 414 469 483 603 644 804 828 938 966 1206 1407 1449 1541 1876 1932 2412 2814 2898 3082 4221 4623 5628 5796 6164 8442 9246 10787 13869 16884 18492 21574 27738 32361 43148 55476 64722 97083 129444 194166 340381 388332 680762 1021143 1361524 2042286 2382667 3063429 4084572 4765334 6126858 7148001 7828763 9530668 12253716 14296002 15657526 21444003 22805527 23486289 28592004 31315052 42888006 45611054 46972578 54801341 68416581 70458867 85776012 91222108 93945156 109602682 136833162 140917734 159638689 164404023 205249743 219205364 273666324 281835468 319277378 328808046 410499486 478916067 493212069 524527121 638554756 657616092 820998972 957832134 986424138 1049054242 1436748201 1573581363 1915664268 1972848276 2098108484 2873496402 3147162726 3671689847 4720744089 5746992804 6294325452 7343379694 9441488178 11015069541 14686759388 18882976356 22030139082 33045208623 44060278164 66090417246 132180834492