Search a number
-
+
331472582688 = 253131327200153
BaseRepresentation
bin1001101001011010100…
…11100011100000100000
31011200120220010212210210
410310231103203200200
520412323440121223
6412135411454120
732643125315232
oct4645523434040
91150526125723
10331472582688
111186386a4515
12542a95b7340
13253473066c0
1412086d94252
158950718893
hex4d2d4e3820

331472582688 has 96 divisors (see below), whose sum is σ = 937758318336. Its totient is φ = 101914195968.

The previous prime is 331472582681. The next prime is 331472582719. The reversal of 331472582688 is 886285274133.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (331472582681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556020 + ... + 1756172.

It is an arithmetic number, because the mean of its divisors is an integer number (9768315816).

Almost surely, 2331472582688 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 331472582688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468879159168).

331472582688 is an abundant number, since it is smaller than the sum of its proper divisors (606285735648).

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

331472582688 is a wasteful number, since it uses less digits than its factorization.

331472582688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201506 (or 201498 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 331472582688 in words is "three hundred thirty-one billion, four hundred seventy-two million, five hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1327 2654 3981 5308 7962 10616 15924 17251 21232 31848 34502 42464 51753 63696 69004 103506 127392 138008 200153 207012 276016 400306 414024 552032 600459 800612 828048 1200918 1601224 1656096 2401836 2601989 3202448 4803672 5203978 6404896 7805967 9607344 10407956 15611934 19214688 20815912 31223868 41631824 62447736 83263648 124895472 249790944 265603031 531206062 796809093 1062412124 1593618186 2124824248 3187236372 3452839403 4249648496 6374472744 6905678806 8499296992 10358518209 12748945488 13811357612 20717036418 25497890976 27622715224 41434072836 55245430448 82868145672 110490860896 165736291344 331472582688