Search a number
-
+
12208289106354 = 2311297982379907
BaseRepresentation
bin1011000110100111011010…
…1111000100100110110010
31121020002201122210000112220
42301221312233010212302
53100010034002400404
641544224404301510
72400006533135235
oct261516657044662
947202648700486
1012208289106354
113987562a27320
12145206b3a1896
136a7310107403
14302c5490341c
15162873e4b4d9
hexb1a76bc49b2

12208289106354 has 64 divisors (see below), whose sum is σ = 27555449149440. Its totient is φ = 3571823769920.

The previous prime is 12208289106353. The next prime is 12208289106371. The reversal of 12208289106354 is 45360198280221.

It is a super-4 number, since 4×122082891063544 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12208289106297 and 12208289106306.

It is not an unprimeable number, because it can be changed into a prime (12208289106353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152741269 + ... + 152821175.

It is an arithmetic number, because the mean of its divisors is an integer number (430553892960).

Almost surely, 212208289106354 is an apocalyptic number.

12208289106354 is an abundant number, since it is smaller than the sum of its proper divisors (15347160043086).

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

12208289106354 is a wasteful number, since it uses less digits than its factorization.

12208289106354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159775.

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 12208289106354 in words is "twelve trillion, two hundred eight billion, two hundred eighty-nine million, one hundred six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 79823 79907 159646 159814 239469 239721 478938 479442 878053 878977 1756106 1757954 2314867 2317303 2634159 2636931 4629734 4634606 5268318 5273862 6944601 6951909 13889202 13903818 25463537 25490333 50927074 50980666 76390611 76470999 152781222 152941998 6378416461 12756832922 19135249383 38270498766 70162581071 140325162142 184974077369 210487743213 369948154738 420975486426 554922232107 1109844464214 2034714851059 4069429702118 6104144553177 12208289106354