Search a number
-
+
331388729808 = 24361223950549
BaseRepresentation
bin1001101001010000100…
…11101011100111010000
31011200101001100201021120
410310220103223213100
520412141003323213
6412123214322240
732641056504213
oct4645023534720
91150331321246
10331388729808
111185a5331614
12542854b9380
1325332b27706
1412079ba777a
1589481a3423
hex4d284eb9d0

331388729808 has 80 divisors (see below), whose sum is σ = 870527616000. Its totient is φ = 108601367040.

The previous prime is 331388729689. The next prime is 331388729879. The reversal of 331388729808 is 808927883133.

331388729808 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6530518 + ... + 6581066.

It is an arithmetic number, because the mean of its divisors is an integer number (10881595200).

Almost surely, 2331388729808 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 331388729808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435263808000).

331388729808 is an abundant number, since it is smaller than the sum of its proper divisors (539138886192).

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

331388729808 is a wasteful number, since it uses less digits than its factorization.

331388729808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52860 (or 52854 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 331388729808 in words is "three hundred thirty-one billion, three hundred eighty-eight million, seven hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2239 2928 4478 6717 8956 13434 17912 26868 35824 50549 53736 101098 107472 136579 151647 202196 273158 303294 404392 409737 546316 606588 808784 819474 1092632 1213176 1638948 2185264 2426352 3083489 3277896 6166978 6555792 9250467 12333956 18500934 24667912 37001868 49335824 74003736 113179211 148007472 226358422 339537633 452716844 679075266 905433688 1358150532 1810867376 2716301064 5432602128 6903931871 13807863742 20711795613 27615727484 41423591226 55231454968 82847182452 110462909936 165694364904 331388729808