Search a number
-
+
133191432924 = 2231121710352387
BaseRepresentation
bin111110000001011010…
…0111111101011011100
3110201210100011211120020
41330002310333223130
54140234001323144
6141104242352140
712423415333344
oct1740264775334
9421710154506
10133191432924
1151539100a00
122199165b650
13c738133a94
1466372a3d24
1536e811d419
hex1f02d3fadc

133191432924 has 144 divisors (see below), whose sum is σ = 365213931264. Its totient is φ = 37617338880.

The previous prime is 133191432889. The next prime is 133191432931. The reversal of 133191432924 is 429234191331.

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, 2516259 + ... + 2568645.

It is an arithmetic number, because the mean of its divisors is an integer number (2536207856).

Almost surely, 2133191432924 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 133191432924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182606965632).

133191432924 is an abundant number, since it is smaller than the sum of its proper divisors (232022498340).

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

133191432924 is a wasteful number, since it uses less digits than its factorization.

133191432924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52536 (or 52523 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The spelling of 133191432924 in words is "one hundred thirty-three billion, one hundred ninety-one million, four hundred thirty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 121 132 187 204 206 242 309 363 374 412 484 561 618 726 748 1122 1133 1236 1452 1751 2057 2244 2266 3399 3502 4114 4532 5253 6171 6798 7004 8228 10506 12342 12463 13596 19261 21012 24684 24926 37389 38522 49852 52387 57783 74778 77044 104774 115566 149556 157161 209548 211871 231132 314322 423742 576257 628644 635613 847484 890579 1152514 1271226 1728771 1781158 2305028 2542452 2671737 3457542 3562316 5343474 5395861 6338827 6915084 9796369 10686948 10791722 12677654 16187583 19016481 19592738 21583444 25355308 29389107 32375166 38032962 39185476 58778214 59354471 64750332 76065924 91729637 107760059 117556428 118708942 178063413 183459274 215520118 237417884 275188911 323280177 356126826 366918548 431040236 550377822 646560354 652899181 712253652 1009026007 1100755644 1293120708 1305798362 1958697543 2018052014 2611596724 3027078021 3917395086 4036104028 6054156042 7834790172 11099286077 12108312084 22198572154 33297858231 44397144308 66595716462 133191432924