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233046313056 = 25341941211547
BaseRepresentation
bin1101100100001010100…
…1001000100001100000
3211021112101202022210000
43121002221020201200
512304234324004211
6255020543140000
722560050656014
oct3310251104140
9737471668700
10233046313056
118a91a628327
12391ba8a4600
1318c8c86297b
14b3cad4a544
1560de73e656
hex3642a48860

233046313056 has 480 divisors, whose sum is σ = 743912104320. Its totient is φ = 71327692800.

The previous prime is 233046313051. The next prime is 233046313079. The reversal of 233046313056 is 650313640332.

233046313056 is a `hidden beast` number, since 2 + 330 + 4 + 6 + 313 + 0 + 5 + 6 = 666.

233046313056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233046313056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233046313051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426044175 + ... + 426044721.

It is an arithmetic number, because the mean of its divisors is an integer number (1549816884).

Almost surely, 2233046313056 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 233046313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371956052160).

233046313056 is an abundant number, since it is smaller than the sum of its proper divisors (510865791264).

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

233046313056 is a wasteful number, since it uses less digits than its factorization.

233046313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 233046313056 its reverse (650313640332), we get a palindrome (883359953388).

The spelling of 233046313056 in words is "two hundred thirty-three billion, forty-six million, three hundred thirteen thousand, fifty-six".