Search a number
-
+
203458957056 = 283413970589
BaseRepresentation
bin1011110101111100011…
…0010100111100000000
3201110011101220220120000
42331133012110330000
511313140443111211
6233245011320000
720461621412625
oct2753706247400
9643141826500
10203458957056
11793173058a3
1233521bb0000
1316255b18324
149bc163834c
15545be75656
hex2f5f194f00

203458957056 has 180 divisors, whose sum is σ = 611051040600. Its totient is φ = 67330787328.

The previous prime is 203458957049. The next prime is 203458957057. The reversal of 203458957056 is 650759854302.

203458957056 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 589 + 5 + 7 + 0 + 56 = 666.

203458957056 is digitally balanced in base 2, 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 203458956993 and 203458957011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203458957057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2847010 + ... + 2917598.

Almost surely, 2203458957056 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 203458957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305525520300).

203458957056 is an abundant number, since it is smaller than the sum of its proper divisors (407592083544).

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

203458957056 is an equidigital number, since it uses as much as digits as its factorization.

203458957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70756 (or 70733 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 203458957056 in words is "two hundred three billion, four hundred fifty-eight million, nine hundred fifty-seven thousand, fifty-six".