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11068675717064 = 2371721914135731
BaseRepresentation
bin1010000100010010000001…
…1110111111011111001000
31110012011012001010120111212
42201010200132333133020
52422322121440421224
635312513542312252
72221454050144640
oct241044036773710
943164161116455
1011068675717064
113588220978679
1212a9225128688
13623a053b0a24
142a3a26349520
15142dc58ced0e
hexa11207bf7c8

11068675717064 has 96 divisors (see below), whose sum is σ = 25197894816960. Its totient is φ = 4464317721600.

The previous prime is 11068675717063. The next prime is 11068675717171. The reversal of 11068675717064 is 46071757686011.

It is a junction number, because it is equal to n+sod(n) for n = 11068675716994 and 11068675717012.

It is not an unprimeable number, because it can be changed into a prime (11068675717063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309760079 + ... + 309795809.

It is an arithmetic number, because the mean of its divisors is an integer number (262478071010).

Almost surely, 211068675717064 is an apocalyptic number.

11068675717064 is a gapful number since it is divisible by the number (14) 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 11068675717064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598947408480).

11068675717064 is an abundant number, since it is smaller than the sum of its proper divisors (14129219099896).

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

11068675717064 is a wasteful number, since it uses less digits than its factorization.

11068675717064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54919 (or 54898 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 59.

The spelling of 11068675717064 in words is "eleven trillion, sixty-eight billion, six hundred seventy-five million, seven hundred seventeen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 16184 19141 35731 38282 71462 76564 133987 142924 153128 250117 267974 285848 325397 500234 535948 607427 650794 1000468 1071896 1214854 1301588 2000936 2277779 2429708 2603176 4251989 4555558 4859416 5531749 8503978 9111116 10326259 11063498 17007956 18222232 20652518 22126996 34015912 38722243 41305036 44253992 72283813 77444486 82610072 144567626 154888972 289135252 309777944 578270504 683927071 1367854142 2735708284 4787489497 5471416568 9574978994 11626760207 19149957988 23253520414 38299915976 46507040828 81387321449 93014081656 162774642898 197654923519 325549285796 395309847038 651098571592 790619694076 1383584464633 1581239388152 2767168929266 5534337858532 11068675717064