Search a number
-
+
50838428160 = 2932513169733
BaseRepresentation
bin101111010110001101…
…001101101000000000
311212020000110201211200
4233112031031220000
51313104114200120
635204351541200
73446552336502
oct572615155000
9155200421750
1050838428160
111a618a70593
129a2982a800
134a42688b70
142663c1dd72
1514c82ace90
hexbd634da00

50838428160 has 240 divisors, whose sum is σ = 189612567144. Its totient is φ = 12514000896.

The previous prime is 50838428119. The next prime is 50838428167. The reversal of 50838428160 is 6182483805.

50838428160 is a `hidden beast` number, since 508 + 3 + 8 + 4 + 2 + 81 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17691128064 + 33147300096 = 133008^2 + 182064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50838428167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214654 + ... + 384386.

Almost surely, 250838428160 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 50838428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94806283572).

50838428160 is an abundant number, since it is smaller than the sum of its proper divisors (138774138984).

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

50838428160 is a wasteful number, since it uses less digits than its factorization.

50838428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169775 (or 169756 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 50838428160 in words is "fifty billion, eight hundred thirty-eight million, four hundred twenty-eight thousand, one hundred sixty".