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268931439396 = 223219245492
BaseRepresentation
bin1111101001110110010…
…0000001101100100100
3221201011021221121210100
43322131210001230210
513401232422030041
6323313450024100
725300241342424
oct3723544015444
9851137847710
10268931439396
11a4064871934
1244154718030
131c48b273039
14d032c20484
156eded5e6b6
hex3e9d901b24

268931439396 has 81 divisors (see below), whose sum is σ = 717618659121. Its totient is φ = 84907048608.

The previous prime is 268931439373. The next prime is 268931439401. The reversal of 268931439396 is 693934139862.

The square root of 268931439396 is 518586.

It is a perfect power (a square), and thus also a powerful number.

268931439396 is a `hidden beast` number, since 2 + 6 + 89 + 31 + 439 + 3 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197770541796 + 71160897600 = 444714^2 + 266760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59116530 + ... + 59121078.

Almost surely, 2268931439396 is an apocalyptic number.

268931439396 is the 518586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268931439396

268931439396 is an abundant number, since it is smaller than the sum of its proper divisors (448687219725).

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

268931439396 is an equidigital number, since it uses as much as digits as its factorization.

268931439396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 4573 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 268931439396 in words is "two hundred sixty-eight billion, nine hundred thirty-one million, four hundred thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 4549 6498 9098 12996 13647 18196 27294 40941 54588 81882 86431 163764 172862 259293 345724 518586 777879 1037172 1555758 1642189 3111516 3284378 4926567 6568756 9853134 14779701 19706268 20693401 29559402 41386802 59118804 62080203 82773604 124160406 186240609 248320812 372481218 393174619 744962436 786349238 1179523857 1572698476 2359047714 3538571571 4718095428 7077143142 7470317761 14154286284 14940635522 22410953283 29881271044 44821906566 67232859849 89643813132 134465719698 268931439396