Search a number
-
+
320328721206208 = 26111337619306289
BaseRepresentation
bin100100011010101100101011…
…1101000111000101111000000
31120000012010102100100120100001
41020311121113220320233000
5313441231210112044313
63053140552154405344
7124320662220614401
oct11065312750705700
91500163370316301
10320328721206208
1193080714194110
122bb15a28730854
1310997b3a98aa10
145915dc847d9a8
1527077425caadd
hex1235657a38bc0

320328721206208 has 112 divisors (see below), whose sum is σ = 746978970941280. Its totient is φ = 134367908659200.

The previous prime is 320328721206121. The next prime is 320328721206211. The reversal of 320328721206208 is 802602127823023.

It is a super-3 number, since 3×3203287212062083 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29767528 + ... + 39073816.

It is an arithmetic number, because the mean of its divisors is an integer number (6669455097690).

Almost surely, 2320328721206208 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 320328721206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373489485470640).

320328721206208 is an abundant number, since it is smaller than the sum of its proper divisors (426650249735072).

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

320328721206208 is a wasteful number, since it uses less digits than its factorization.

320328721206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310086 (or 9310076 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 320328721206208 in words is "three hundred twenty trillion, three hundred twenty-eight billion, seven hundred twenty-one million, two hundred six thousand, two hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 3761 4576 7522 9152 15044 30088 41371 48893 60176 82742 97786 120352 165484 195572 240704 330968 391144 537823 661936 782288 1075646 1323872 1564576 2151292 2647744 3129152 4302584 8605168 9306289 17210336 18612578 34420672 37225156 74450312 102369179 120981757 148900624 204738358 241963514 297801248 409476716 483927028 595602496 818953432 967854056 1330799327 1637906864 1935708112 2661598654 3275813728 3871416224 5323197308 6551627456 7742832448 10646394616 21292789232 35000952929 42585578464 70001905858 85171156928 140003811716 280007623432 385010482219 455012388077 560015246864 770020964438 910024776154 1120030493728 1540041928876 1820049552308 2240060987456 3080083857752 3640099104616 5005136268847 6160167715504 7280198209232 10010272537694 12320335431008 14560396418464 20020545075388 24640670862016 29120792836928 40041090150776 80082180301552 160164360603104 320328721206208