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1643315330340 = 2232550329181397
BaseRepresentation
bin10111111010011101001…
…110011111110100100100
312211002200110201020201100
4113322131032133310210
5203411002211032330
63254532330400100
7226503612556665
oct27723516376444
95732613636640
101643315330340
11583a20732262
1222659ab90030
13bbc6bac7718
145977330536c
152cb2e19b060
hex17e9d39fd24

1643315330340 has 72 divisors (see below), whose sum is σ = 4984849691640. Its totient is φ = 438206298624.

The previous prime is 1643315330323. The next prime is 1643315330369. The reversal of 1643315330340 is 430335133461.

1643315330340 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 315 + 330 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62708173056 + 1580607157284 = 250416^2 + 1257222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1643315330295 and 1643315330304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8968522 + ... + 9149918.

It is an arithmetic number, because the mean of its divisors is an integer number (69234023495).

Almost surely, 21643315330340 is an apocalyptic number.

1643315330340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1643315330340 is an abundant number, since it is smaller than the sum of its proper divisors (3341534361300).

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

1643315330340 is a wasteful number, since it uses less digits than its factorization.

1643315330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231741 (or 231736 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 1643315330340 in words is "one trillion, six hundred forty-three billion, three hundred fifteen million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 50329 100658 150987 181397 201316 251645 301974 362794 452961 503290 544191 603948 725588 754935 905922 906985 1006580 1088382 1509870 1632573 1811844 1813970 2176764 2264805 2720955 3019740 3265146 3627940 4529610 5441910 6530292 8162865 9059220 10883820 16325730 32651460 9129529613 18259059226 27388588839 36518118452 45647648065 54777177678 82165766517 91295296130 109554355356 136942944195 164331533034 182590592260 273885888390 328663066068 410828832585 547771776780 821657665170 1643315330340