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64264843804968 = 23331763347276277
BaseRepresentation
bin11101001110010110100110…
…01011111100000100101000
322102112122210110102111102000
432213023103023330010220
531410403400003224333
6344402510042211000
716351660511226612
oct1647132313740450
9272478713374360
1064264843804968
1119527626a46334
12725ab5a1b3a60
1329b21c1ac4251
1411c2613a4ddb2
15766a21ad6713
hex3a72d32fc128

64264843804968 has 128 divisors (see below), whose sum is σ = 189017914435200. Its totient is φ = 20161128379392.

The previous prime is 64264843804937. The next prime is 64264843804991. The reversal of 64264843804968 is 86940834846246.

64264843804968 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 484 + 3 + 80 + 4 + 9 + 68 = 666.

64264843804968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 64264843804896 and 64264843804905.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 232472046 + ... + 232748322.

It is an arithmetic number, because the mean of its divisors is an integer number (1476702456525).

Almost surely, 264264843804968 is an apocalyptic number.

64264843804968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

64264843804968 is an abundant number, since it is smaller than the sum of its proper divisors (124753070630232).

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

64264843804968 is a wasteful number, since it uses less digits than its factorization.

64264843804968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339656 (or 339646 counting only the distinct ones).

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

The spelling of 64264843804968 in words is "sixty-four trillion, two hundred sixty-four billion, eight hundred forty-three million, eight hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 63347 126694 190041 253388 276277 380082 506776 552554 570123 760164 828831 1076899 1105108 1140246 1520328 1657662 1710369 2153798 2210216 2280492 2486493 3230697 3315324 3420738 4307596 4560984 4696709 4972986 6461394 6630648 6841476 7459479 8615192 9393418 9692091 9945972 12922788 13682952 14090127 14918958 18786836 19384182 19891944 25845576 28180254 29076273 29837916 37573672 38768364 42270381 56360508 58152546 59675832 77536728 84540762 112721016 116305092 126811143 169081524 232610184 253622286 338163048 507244572 1014489144 17501319119 35002638238 52503957357 70005276476 105007914714 140010552952 157511872071 210015829428 297522425023 315023744142 420031658856 472535616213 595044850046 630047488284 892567275069 945071232426 1190089700092 1260094976568 1785134550138 1890142464852 2380179400184 2677701825207 3570269100276 3780284929704 5355403650414 7140538200552 8033105475621 10710807300828 16066210951242 21421614601656 32132421902484 64264843804968