Search a number
-
+
50705379648 = 26337111931647
BaseRepresentation
bin101111001110010001…
…101011000101000000
311211212202010011121000
4233032101223011000
51312321034122043
635143240132000
73443345421120
oct571621530500
9154782104530
1050705379648
111a55a957240
1299b1167000
134a20c43931
1426502a8c80
1514bb77b2d3
hexbce46b140

50705379648 has 896 divisors, whose sum is σ = 202250649600. Its totient is φ = 12055910400.

The previous prime is 50705379631. The next prime is 50705379649. The reversal of 50705379648 is 84697350705.

50705379648 is a `hidden beast` number, since 507 + 0 + 5 + 3 + 7 + 96 + 48 = 666.

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 = 50705379594 and 50705379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50705379649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78369661 + ... + 78370307.

Almost surely, 250705379648 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 50705379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101125324800).

50705379648 is an abundant number, since it is smaller than the sum of its proper divisors (151545269952).

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

50705379648 is a wasteful number, since it uses less digits than its factorization.

50705379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 50705379648 in words is "fifty billion, seven hundred five million, three hundred seventy-nine thousand, six hundred forty-eight".