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11279297834456 = 23238317931113267
BaseRepresentation
bin1010010000100010101010…
…0010100110110111011000
31110221021211122210201202112
42210020222202212313120
52434300000221200311
635553345441251452
72242621341461141
oct244105242466730
943837748721675
1011279297834456
113659583638893
121322006033b88
1363a83025b062
142adcc7052ac8
1514860164d28b
hexa422a8a6dd8

11279297834456 has 128 divisors (see below), whose sum is σ = 22532757811200. Its totient is φ = 5282241022080.

The previous prime is 11279297834407. The next prime is 11279297834477. The reversal of 11279297834456 is 65443879297211.

It is a super-2 number, since 2×112792978344562 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 850170335 + ... + 850183601.

It is an arithmetic number, because the mean of its divisors is an integer number (176037170400).

Almost surely, 211279297834456 is an apocalyptic number.

It is an amenable number.

11279297834456 is a deficient number, since it is larger than the sum of its proper divisors (11253459976744).

11279297834456 is a wasteful number, since it uses less digits than its factorization.

11279297834456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13865 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 68.

The spelling of 11279297834456 in words is "eleven trillion, two hundred seventy-nine billion, two hundred ninety-seven million, eight hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 23 46 83 92 166 179 184 311 332 358 622 664 716 1244 1432 1909 2488 3818 4117 7153 7636 8234 13267 14306 14857 15272 16468 25813 26534 28612 29714 32936 51626 53068 55669 57224 59428 103252 106136 111338 118856 206504 222676 305141 341711 445352 593699 610282 683422 1101161 1187398 1220564 1280387 1366844 2202322 2374793 2374796 2441128 2560774 2733688 4126037 4404644 4620527 4749586 4749592 5121548 8252074 8809288 9241054 9499172 10243096 16504148 18482108 18998344 25326703 33008296 36964216 50653406 54620239 94898851 101306812 106272121 109240478 189797702 197107819 202613624 212544242 218480956 342461071 379595404 394215638 425088484 436961912 684922142 738560623 759190808 788431276 850176968 1369844284 1477121246 1576862552 2739688568 2954242492 4533479837 5908484984 7876604633 9066959674 15753209266 16986894329 18133919348 31506418532 33973788658 36267838696 61300531709 63012837064 67947577316 122601063418 135895154632 245202126836 490404253672 1409912229307 2819824458614 5639648917228 11279297834456