Search a number
-
+
3387035033216 = 271631816591361
BaseRepresentation
bin110001010010011011000…
…001010001111010000000
3102222210112021222002111222
4301102123001101322000
5420443121432030331
611111552111254212
7466463612521112
oct61223301217200
912883467862458
103387035033216
111096484a8169a
1246851b21a368
131b751c114463
14b9d0d24d3b2
155d187d0ab7b
hex3149b051e80

3387035033216 has 128 divisors (see below), whose sum is σ = 6841895860800. Its totient is φ = 1670060851200.

The previous prime is 3387035033203. The next prime is 3387035033243. The reversal of 3387035033216 is 6123305307833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33870350332162 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488636376 + ... + 2488637736.

Almost surely, 23387035033216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387035033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420947930400).

3387035033216 is an abundant number, since it is smaller than the sum of its proper divisors (3454860827584).

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

3387035033216 is a wasteful number, since it uses less digits than its factorization.

3387035033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 3387035033216 in words is "three trillion, three hundred eighty-seven billion, thirty-five million, thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 163 181 326 362 652 659 724 1304 1318 1361 1448 2608 2636 2722 2896 5216 5272 5444 5792 10432 10544 10888 11584 20864 21088 21776 23168 29503 42176 43552 59006 84352 87104 107417 118012 119279 174208 214834 221843 236024 238558 246341 429668 443686 472048 477116 492682 859336 887372 896899 944096 954232 985364 1718672 1774744 1793798 1888192 1908464 1970728 3437344 3549488 3587596 3776384 3816928 3941456 6874688 7098976 7175192 7633856 7882912 13749376 14197952 14350384 15267712 15765824 19442477 28395904 28700768 31531648 38884954 40153583 57401536 77769908 80307166 114803072 146194537 155539816 160614332 162338719 292389074 311079632 321228664 324677438 584778148 622159264 642457328 649354876 1169556296 1244318528 1284914656 1298709752 2339112592 2488637056 2569829312 2597419504 4678225184 5139658624 5194839008 9356450368 10389678016 18712900736 20779356032 26461211197 52922422394 105844844788 211689689576 423379379152 846758758304 1693517516608 3387035033216