Search a number
-
+
50409752112 = 24331721979269
BaseRepresentation
bin101110111100101001…
…111100011000110000
311211010010211201212000
4232330221330120300
51311214344031422
635054035534000
73433125552216
oct567451743060
9154103751760
1050409752112
111a418a99965
12992a15a300
1349a49170b5
142622d12cb6
1514a0832cac
hexbbca7c630

50409752112 has 480 divisors, whose sum is σ = 164453760000. Its totient is φ = 14737821696.

The previous prime is 50409752111. The next prime is 50409752137. The reversal of 50409752112 is 21125790405.

50409752112 is a `hidden beast` number, since 5 + 0 + 40 + 97 + 521 + 1 + 2 = 666.

It is a super-2 number, since 2×504097521122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50409752111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187396714 + ... + 187396982.

It is an arithmetic number, because the mean of its divisors is an integer number (342612000).

Almost surely, 250409752112 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 50409752112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82226880000).

50409752112 is an abundant number, since it is smaller than the sum of its proper divisors (114044007888).

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

50409752112 is a wasteful number, since it uses less digits than its factorization.

50409752112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 50409752112 in words is "fifty billion, four hundred nine million, seven hundred fifty-two thousand, one hundred twelve".