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132073493188 = 227313972787
BaseRepresentation
bin111101100000000110…
…0011001001011000100
3110121220102120121112211
41323000030121023010
54130441303240223
6140401305153204
712353622112000
oct1730014311304
9417812517484
10132073493188
115101505326a
122171b18b804
13c5ba641690
14656ca15700
15367ede1d0d
hex1ec03192c4

132073493188 has 144 divisors (see below), whose sum is σ = 293667427200. Its totient is φ = 51644500992.

The previous prime is 132073493179. The next prime is 132073493263. The reversal of 132073493188 is 881394370231.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 167818531 + ... + 167819317.

Almost surely, 2132073493188 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 132073493188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146833713600).

132073493188 is an abundant number, since it is smaller than the sum of its proper divisors (161593934012).

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

132073493188 is an equidigital number, since it uses as much as digits as its factorization.

132073493188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 132073493188 in words is "one hundred thirty-two billion, seventy-three million, four hundred ninety-three thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 97 98 182 194 196 343 364 388 637 679 686 787 1261 1274 1358 1372 1574 2522 2548 2716 3148 4459 4753 5044 5509 8827 8918 9409 9506 10231 11018 17654 17836 18818 19012 20462 22036 33271 35308 37636 38563 40924 61789 65863 66542 71617 76339 77126 122317 123578 131726 133084 143234 152678 154252 244634 247156 263452 269941 286468 305356 432523 461041 489268 501319 534373 539882 856219 865046 922082 992407 1002638 1068746 1079764 1712438 1730092 1844164 1984814 2005276 2137492 3227287 3424876 3509233 3740611 3969628 5993533 6454574 6946849 7018466 7404883 7481222 11987066 12909148 13893698 14036932 14809766 14962444 23974132 26184277 27787396 29619532 41954731 48627943 51834181 52368554 83909462 96263479 97255886 103668362 104737108 167818924 192526958 194511772 207336724 340395601 362839267 385053916 673844353 680791202 725678534 1347688706 1361582404 1451357068 2539874869 2695377412 4716910471 5079749738 9433820942 10159499476 18867641884 33018373297 66036746594 132073493188