Search a number
-
+
29133360000 = 27325443941
BaseRepresentation
bin11011001000011110…
…111100101110000000
32210012100120000210100
4123020132330232000
5434131120010000
621214513002400
72050644321423
oct331036745600
983170500710
1029133360000
11113a0027628
125790853400
13299397bb74
1415a52d39ba
15b579dba00
hex6c87bcb80

29133360000 has 480 divisors, whose sum is σ = 107309493720. Its totient is φ = 7580160000.

The previous prime is 29133359999. The next prime is 29133360049. The reversal of 29133360000 is 6333192.

29133360000 is a `hidden beast` number, since 29 + 1 + 3 + 33 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 30959530 + ... + 30960470.

Almost surely, 229133360000 is an apocalyptic number.

29133360000 is a gapful number since it is divisible by the number (20) 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 29133360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53654746860).

29133360000 is an abundant number, since it is smaller than the sum of its proper divisors (78176133720).

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

29133360000 is an equidigital number, since it uses as much as digits as its factorization.

29133360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 29133360000 its reverse (6333192), we get a palindrome (29139693192).

The spelling of 29133360000 in words is "twenty-nine billion, one hundred thirty-three million, three hundred sixty thousand".