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50041141632 = 27352921913
BaseRepresentation
bin101110100110101011…
…110011100110000000
311210011110020101100000
4232212223303212000
51304441013013012
634553311200000
73421031454126
oct564653634600
9153143211300
1050041141632
111a249a133a9
129846816000
1349464460a1
1425c9d9d916
15147d2beddc
hexba6af3980

50041141632 has 288 divisors, whose sum is σ = 154739665080. Its totient is φ = 16096776192.

The previous prime is 50041141583. The next prime is 50041141679. The reversal of 50041141632 is 23614114005.

It is a happy number.

50041141632 is a `hidden beast` number, since 500 + 4 + 114 + 16 + 32 = 666.

50041141632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 50041141596 and 50041141605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26157508 + ... + 26159420.

Almost surely, 250041141632 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 50041141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77369832540).

50041141632 is an abundant number, since it is smaller than the sum of its proper divisors (104698523448).

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

50041141632 is an equidigital number, since it uses as much as digits as its factorization.

50041141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 50041141632 its reverse (23614114005), we get a palindrome (73655255637).

The spelling of 50041141632 in words is "fifty billion, forty-one million, one hundred forty-one thousand, six hundred thirty-two".