Search a number
-
+
122663456672 = 2529163810923
BaseRepresentation
bin111001000111101001…
…1111100111110100000
3102201121121221020011212
41302033103330332200
54002203321103142
6132203435325252
711601500115131
oct1621723747640
9381547836155
10122663456672
1148026361589
121b9338b0828
13b74ac47733
145d18d85c88
1532cdc1cd82
hex1c8f4fcfa0

122663456672 has 48 divisors (see below), whose sum is σ = 251354003040. Its totient is φ = 58853475072.

The previous prime is 122663456567. The next prime is 122663456737. The reversal of 122663456672 is 276654366221.

It is a self number, because there is not a number n which added to its sum of digits gives 122663456672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254198 + ... + 556725.

It is an arithmetic number, because the mean of its divisors is an integer number (5236541730).

Almost surely, 2122663456672 is an apocalyptic number.

It is an amenable number.

122663456672 is an abundant number, since it is smaller than the sum of its proper divisors (128690546368).

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

122663456672 is a wasteful number, since it uses less digits than its factorization.

122663456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811125 (or 811117 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 50.

The spelling of 122663456672 in words is "one hundred twenty-two billion, six hundred sixty-three million, four hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 163 232 326 464 652 928 1304 2608 4727 5216 9454 18908 37816 75632 151264 810923 1621846 3243692 6487384 12974768 23516767 25949536 47033534 94067068 132180449 188134136 264360898 376268272 528721796 752536544 1057443592 2114887184 3833233021 4229774368 7666466042 15332932084 30665864168 61331728336 122663456672