Search a number
-
+
11068062680 = 2353165313669
BaseRepresentation
bin10100100111011010…
…10011101111011000
31001120100111211200102
422103231103233120
5140131411001210
65030134554532
7541163660213
oct122355235730
931510454612
1011068062680
11476a6a6344
12218a808a48
13107506841c
1476dd4a77a
1544ba35ea5
hex293b53bd8

11068062680 has 64 divisors (see below), whose sum is σ = 25747718400. Its totient is φ = 4277537280.

The previous prime is 11068062671. The next prime is 11068062727. The reversal of 11068062680 is 8626086011.

It is a super-2 number, since 2×110680626802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802886 + ... + 816554.

It is an arithmetic number, because the mean of its divisors is an integer number (402308100).

Almost surely, 211068062680 is an apocalyptic number.

11068062680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11068062680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873859200).

11068062680 is an abundant number, since it is smaller than the sum of its proper divisors (14679655720).

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

11068062680 is a wasteful number, since it uses less digits than its factorization.

11068062680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14364 (or 14360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 11068062680 in words is "eleven billion, sixty-eight million, sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 653 1240 1306 2612 3265 5224 6530 13060 13669 20243 26120 27338 40486 54676 68345 80972 101215 109352 136690 161944 202430 273380 404860 423739 546760 809720 847478 1694956 2118695 3389912 4237390 8474780 8925857 16949560 17851714 35703428 44629285 71406856 89258570 178517140 276701567 357034280 553403134 1106806268 1383507835 2213612536 2767015670 5534031340 11068062680