Search a number
-
+
133282228854610 = 251167711311944353
BaseRepresentation
bin11110010011100000101111…
…111001111101111101010010
3122110220122201200122212110001
4132103200233321331331102
5114432144001041321420
61151245002145200214
740034215610511553
oct3623405771757522
9573818650585401
10133282228854610
1139516748589690
1212b46ba493006a
13594a5ca231234
1424cac73d4032a
151061e9b24bb0a
hex79382fe7df52

133282228854610 has 128 divisors (see below), whose sum is σ = 271421614430208. Its totient is φ = 46711112448000.

The previous prime is 133282228854589. The next prime is 133282228854611. The reversal of 133282228854610 is 16458822282331.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (133282228854611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67576194 + ... + 69520546.

It is an arithmetic number, because the mean of its divisors is an integer number (2120481362736).

Almost surely, 2133282228854610 is an apocalyptic number.

133282228854610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133282228854610 is an abundant number, since it is smaller than the sum of its proper divisors (138139385575598).

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

133282228854610 is a wasteful number, since it uses less digits than its factorization.

133282228854610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944640.

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 133282228854610 in words is "one hundred thirty-three trillion, two hundred eighty-two billion, two hundred twenty-eight million, eight hundred fifty-four thousand, six hundred ten".

Divisors: 1 2 5 10 11 22 55 67 71 110 131 134 142 262 335 355 655 670 710 737 781 1310 1441 1474 1562 2882 3685 3905 4757 7205 7370 7810 8777 9301 9514 14410 17554 18602 23785 43885 46505 47570 52327 87770 93010 96547 102311 104654 193094 204622 261635 482735 511555 523270 623167 965470 1023110 1246334 1944353 3115835 3888706 6231670 6854837 9721765 13709674 19443530 21387883 34274185 42775766 68548370 106939415 130271651 138049063 213878830 254710243 260543302 276098126 509420486 651358255 690245315 1273551215 1302716510 1380490630 1432988161 1518539693 2547102430 2801812673 2865976322 3037079386 5603625346 7164940805 7592698465 9249287221 14009063365 14329881610 15185396930 17065586281 18084427253 18498574442 28018126730 34131172562 36168854506 46246436105 85327931405 90422136265 92492872210 101742159431 170655862810 180844272530 187721449091 198928699783 203484318862 375442898182 397857399566 508710797155 938607245455 994643498915 1017421594310 1211656625951 1877214490910 1989286997830 2423313251902 6058283129755 12116566259510 13328222885461 26656445770922 66641114427305 133282228854610