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64264843804896 = 25327313101844737
BaseRepresentation
bin11101001110010110100110…
…01011111100000011100000
322102112122210110102111022100
432213023103023330003200
531410403400003224041
6344402510042210400
716351660511226450
oct1647132313740340
9272478713374270
1064264843804896
1119527626a46279
12725ab5a1b3a00
1329b21c1ac41c7
1411c2613a4dd60
15766a21ad66b6
hex3a72d32fc0e0

64264843804896 has 144 divisors (see below), whose sum is σ = 209528031140064. Its totient is φ = 18302721196032.

The previous prime is 64264843804891. The next prime is 64264843804913. The reversal of 64264843804896 is 69840834846246.

64264843804896 is a `hidden beast` number, since 6 + 4 + 2 + 64 + 8 + 4 + 3 + 80 + 489 + 6 = 666.

64264843804896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64264843804891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50291361 + ... + 51553376.

It is an arithmetic number, because the mean of its divisors is an integer number (1455055771806).

Almost surely, 264264843804896 is an apocalyptic number.

It is an amenable number.

64264843804896 is an abundant number, since it is smaller than the sum of its proper divisors (145263187335168).

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

64264843804896 is a wasteful number, since it uses less digits than its factorization.

64264843804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101845073 (or 101845062 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 72.

The spelling of 64264843804896 in words is "sixty-four trillion, two hundred sixty-four billion, eight hundred forty-three million, eight hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 313 336 504 626 672 939 1008 1252 1878 2016 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 10016 11268 13146 15024 17528 19719 22536 26292 30048 35056 39438 45072 52584 70112 78876 90144 105168 157752 210336 315504 631008 101844737 203689474 305534211 407378948 611068422 712913159 814757896 916602633 1222136844 1425826318 1629515792 1833205266 2138739477 2444273688 2851652636 3259031584 3666410532 4277478954 4888547376 5703305272 6416218431 7332821064 8554957908 9777094752 11406610544 12832436862 14665642128 17109915816 22813221088 25664873724 29331284256 31877402681 34219831632 51329747448 63754805362 68439663264 95632208043 102659494896 127509610724 191264416086 205318989792 223141818767 255019221448 286896624129 382528832172 446283637534 510038442896 573793248258 669425456301 765057664344 892567275068 1020076885792 1147586496516 1338850912602 1530115328688 1785134550136 2008276368903 2295172993032 2677701825204 3060230657376 3570269100272 4016552737806 4590345986064 5355403650408 7140538200544 8033105475612 9180691972128 10710807300816 16066210951224 21421614601632 32132421902448 64264843804896