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4096685213361 = 32132319746116763
BaseRepresentation
bin111011100111010101011…
…101111000011010110001
3112111122021000222102202100
4323213111131320122301
51014110002403311421
612413554033411013
7601655451522456
oct73472535703261
915448230872670
104096685213361
11133a438003484
12561b6b709a69
13239414949660
141023d005582d
157186e1c0c26
hex3b9d57786b1

4096685213361 has 96 divisors (see below), whose sum is σ = 6698344004352. Its totient is φ = 2393838881280.

The previous prime is 4096685213311. The next prime is 4096685213381. The reversal of 4096685213361 is 1633125866904.

4096685213361 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 68 + 5 + 213 + 361 = 666.

It is not a de Polignac number, because 4096685213361 - 210 = 4096685212337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4096685213298 and 4096685213307.

It is not an unprimeable number, because it can be changed into a prime (4096685213311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244380166 + ... + 244396928.

It is an arithmetic number, because the mean of its divisors is an integer number (69774416712).

Almost surely, 24096685213361 is an apocalyptic number.

It is an amenable number.

4096685213361 is a deficient number, since it is larger than the sum of its proper divisors (2601658790991).

4096685213361 is a wasteful number, since it uses less digits than its factorization.

4096685213361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4096685213361 in words is "four trillion, ninety-six billion, six hundred eighty-five million, two hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 3 9 13 23 39 69 117 197 207 299 461 591 897 1383 1773 2561 2691 4149 4531 5993 7683 10603 13593 16763 17979 23049 31809 40779 50289 53937 58903 90817 95427 137839 150867 176709 217919 272451 385549 413517 530127 653757 817353 1156647 1180621 1240551 1961271 2088791 3302311 3469941 3541863 5012137 6266373 7727743 9906933 10625589 15036411 18799119 23183229 27154283 29720799 42930043 45109233 69549687 75953153 81462849 100460659 128790129 177738089 227859459 244388547 301381977 386370387 533214267 683578377 904145931 987390989 1522365371 1599642801 2310595157 2962172967 4567096113 6931785471 8886518901 13701288339 19790749823 20795356413 35014403533 59372249469 105043210599 178116748407 315129631797 455187245929 1365561737787 4096685213361