Search a number
-
+
332781649029312 = 26372467120163067
BaseRepresentation
bin100101110101010011100001…
…1111110100110100011000000
31121122021121121022001000222220
41023222213003332212203000
5322104243304122414222
63135433440135531040
7130044452326615200
oct11352470376464300
91548247538030886
10332781649029312
11970419a530617a
12313a7390b29a80
131138c2371bb552
145c26a0972a400
152871633822b5c
hex12ea9c3fa68c0

332781649029312 has 336 divisors, whose sum is σ = 1027301560092288. Its totient is φ = 94796371353600.

The previous prime is 332781649029289. The next prime is 332781649029329. The reversal of 332781649029312 is 213920946187233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3327816490293122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5276605203 + ... + 5276668269.

Almost surely, 2332781649029312 is an apocalyptic number.

332781649029312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332781649029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513650780046144).

332781649029312 is an abundant number, since it is smaller than the sum of its proper divisors (694519911062976).

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

332781649029312 is a wasteful number, since it uses less digits than its factorization.

332781649029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64764 (or 64747 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 332781649029312 in words is "three hundred thirty-two trillion, seven hundred eighty-one billion, six hundred forty-nine million, twenty-nine thousand, three hundred twelve".