Search a number
-
+
235492746727392 = 253472111723431099
BaseRepresentation
bin110101100010110111101101…
…100001000000111111100000
31010212210212221102100020020000
4311202313231201000333200
5221331303121130234032
62152503512505420000
7100413534536604300
oct6542675541007740
91125725842306200
10235492746727392
1169042a05276290
12224b40a449a600
13a152b41cba06b
144221ca4531600
151c35a90524e7c
hexd62ded840fe0

235492746727392 has 1440 divisors, whose sum is σ = 971054915846400. Its totient is φ = 55065768468480.

The previous prime is 235492746727363. The next prime is 235492746727453. The reversal of 235492746727392 is 293727647294532.

235492746727392 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 9 + 2 + 7 + 467 + 2 + 73 + 92 = 666.

235492746727392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2354927467273922 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 235492746727392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 546045859 + ... + 546476957.

It is an arithmetic number, because the mean of its divisors is an integer number (674343691560).

Almost surely, 2235492746727392 is an apocalyptic number.

235492746727392 is a gapful number since it is divisible by the number (22) 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 235492746727392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485527457923200).

235492746727392 is an abundant number, since it is smaller than the sum of its proper divisors (735562169119008).

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

235492746727392 is a wasteful number, since it uses less digits than its factorization.

235492746727392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431186 (or 431162 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 72.

The spelling of 235492746727392 in words is "two hundred thirty-five trillion, four hundred ninety-two billion, seven hundred forty-six million, seven hundred twenty-seven thousand, three hundred ninety-two".