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27389379456 = 2732171398559
BaseRepresentation
bin11001100000100010…
…001100001110000000
32121200210221122020100
4121200202030032000
5422043140120311
620325453242400
71656506612145
oct314042141600
977623848210
1027389379456
111068565519a
125384793400
13277657400a
14147b8403cc
15aa484ba56
hex66088c380

27389379456 has 96 divisors (see below), whose sum is σ = 83452075200. Its totient is φ = 8592740352.

The previous prime is 27389379421. The next prime is 27389379461. The reversal of 27389379456 is 65497398372.

27389379456 is a `hidden beast` number, since 2 + 73 + 89 + 37 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27389379393 and 27389379402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679696 + ... + 718863.

It is an arithmetic number, because the mean of its divisors is an integer number (869292450).

Almost surely, 227389379456 is an apocalyptic number.

It is an amenable number.

27389379456 is an abundant number, since it is smaller than the sum of its proper divisors (56062695744).

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

27389379456 is a wasteful number, since it uses less digits than its factorization.

27389379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398596 (or 1398581 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 27389379456 in words is "twenty-seven billion, three hundred eighty-nine million, three hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 1398559 2797118 4195677 5594236 8391354 11188472 12587031 16782708 22376944 23775503 25174062 33565416 44753888 47551006 50348124 67130832 71326509 89507776 95102012 100696248 134261664 142653018 179015552 190204024 201392496 213979527 268523328 285306036 380408048 402784992 427959054 537046656 570612072 760816096 805569984 855918108 1141224144 1521632192 1611139968 1711836216 2282448288 3043264384 3423672432 4564896576 6847344864 9129793152 13694689728 27389379456