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68129114384 = 2423223933679
BaseRepresentation
bin111111011100110011…
…111100100100010000
320111212000221121021202
4333130303330210100
52104012023130014
651144215210332
74631205626432
oct773463744420
9214760847252
1068129114384
1126991122011
12112543769a8
136569968946
14342436a652
151b8b2543de
hexfdccfc910

68129114384 has 60 divisors (see below), whose sum is σ = 138570297600. Its totient is φ = 32446193472.

The previous prime is 68129114299. The next prime is 68129114393. The reversal of 68129114384 is 48341192186.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2006057 + ... + 2039735.

It is an arithmetic number, because the mean of its divisors is an integer number (2309504960).

Almost surely, 268129114384 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 68129114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69285148800).

68129114384 is an abundant number, since it is smaller than the sum of its proper divisors (70441183216).

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

68129114384 is a wasteful number, since it uses less digits than its factorization.

68129114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33972 (or 33943 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The spelling of 68129114384 in words is "sixty-eight billion, one hundred twenty-nine million, one hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 46 92 184 239 368 478 529 956 1058 1912 2116 3824 4232 5497 8464 10994 21988 33679 43976 67358 87952 126431 134716 252862 269432 505724 538864 774617 1011448 1549234 2022896 3098468 6196936 8049281 12393872 16098562 17816191 32197124 35632382 64394248 71264764 128788496 142529528 185133463 285059056 370266926 740533852 1481067704 2962135408 4258069649 8516139298 17032278596 34064557192 68129114384