Search a number
-
+
330924136608 = 25341337433613
BaseRepresentation
bin1001101000011001001…
…11011001100010100000
31011122011200010221020000
410310030213121202200
520410213034332413
6412005140420000
732623415515122
oct4641447314240
91148150127200
10330924136608
1111838705889a
12541759a7600
132528a7bb5b0
14120341cb212
15891c4d1073
hex4d0c9d98a0

330924136608 has 480 divisors, whose sum is σ = 1080676363536. Its totient is φ = 98680799232.

The previous prime is 330924136603. The next prime is 330924136649. The reversal of 330924136608 is 806631429033.

330924136608 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 2 + 4 + 1 + 36 + 608 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17427168144 + 313496968464 = 132012^2 + 559908^2 .

It is not an unprimeable number, because it can be changed into a prime (330924136603) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 539843310 + ... + 539843922.

Almost surely, 2330924136608 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 330924136608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540338181768).

330924136608 is an abundant number, since it is smaller than the sum of its proper divisors (749752226928).

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

330924136608 is a wasteful number, since it uses less digits than its factorization.

330924136608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 330924136608 in words is "three hundred thirty billion, nine hundred twenty-four million, one hundred thirty-six thousand, six hundred eight".