Search a number
-
+
11328850789344 = 253411633762701
BaseRepresentation
bin1010010011011011010000…
…1000001000001111100000
31111010000202002102122210000
42210312310020020033200
52441102441300224334
640032222513140000
72246324324602314
oct244666410101740
944100662378700
1011328850789344
1136785a1a23270
12132b73525a600
136423c94c703a
142b2468253b44
15149a51b3a299
hexa4db42083e0

11328850789344 has 240 divisors, whose sum is σ = 36353045027376. Its totient is φ = 3432388608000.

The previous prime is 11328850789313. The next prime is 11328850789457. The reversal of 11328850789344 is 44398705882311.

11328850789344 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 8 + 8 + 507 + 89 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180649194 + ... + 180711894.

Almost surely, 211328850789344 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 11328850789344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176522513688).

11328850789344 is an abundant number, since it is smaller than the sum of its proper divisors (25024194238032).

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

11328850789344 is a wasteful number, since it uses less digits than its factorization.

11328850789344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69071 (or 69054 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11328850789344 in words is "eleven trillion, three hundred twenty-eight billion, eight hundred fifty million, seven hundred eighty-nine thousand, three hundred forty-four".