Search a number
-
+
50782280640 = 2635713737963
BaseRepresentation
bin101111010010110111…
…000001101111000000
311212002002211010220220
4233102313001233000
51313000230440030
635155024303040
73445301156220
oct572267015700
9155062733826
1050782280640
111a59a301083
129a12a71a80
134a33b5a590
14265a5a6080
1514c33bba10
hexbd2dc1bc0

50782280640 has 448 divisors, whose sum is σ = 201185166336. Its totient is φ = 10566402048.

The previous prime is 50782280623. The next prime is 50782280657. The reversal of 50782280640 is 4608228705.

It is a happy number.

50782280640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50782280623) and next prime (50782280657).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 50782280592 and 50782280601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6373299 + ... + 6381261.

It is an arithmetic number, because the mean of its divisors is an integer number (449074032).

Almost surely, 250782280640 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 50782280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100592583168).

50782280640 is an abundant number, since it is smaller than the sum of its proper divisors (150402885696).

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

50782280640 is a wasteful number, since it uses less digits than its factorization.

50782280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 50782280640 in words is "fifty billion, seven hundred eighty-two million, two hundred eighty thousand, six hundred forty".