Search a number
-
+
50132231424 = 2833111934703
BaseRepresentation
bin101110101100000111…
…010010010100000000
311210101210122020001000
4232230013102110000
51310132322401144
635010323412000
73423215636052
oct565407222400
9153353566030
1050132231424
111a296379520
129871224000
13495c28a082
1425d81118d2
1514862b4769
hexbac1d2500

50132231424 has 288 divisors, whose sum is σ = 170243942400. Its totient is φ = 14391613440.

The previous prime is 50132231423. The next prime is 50132231431. The reversal of 50132231424 is 42413223105.

50132231424 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 2 + 231 + 424 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (50132231423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427257 + ... + 1461959.

It is an arithmetic number, because the mean of its divisors is an integer number (591124800).

Almost surely, 250132231424 is an apocalyptic number.

50132231424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50132231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85121971200).

50132231424 is an abundant number, since it is smaller than the sum of its proper divisors (120111710976).

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

50132231424 is a wasteful number, since it uses less digits than its factorization.

50132231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34758 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 50132231424 its reverse (42413223105), we get a palindrome (92545454529).

The spelling of 50132231424 in words is "fifty billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred twenty-four".