Search a number
-
+
50427267984 = 2434193122131
BaseRepresentation
bin101110111101101100…
…110000101110010000
311211011100210122010000
4232331230300232100
51311233340033414
635055503210000
73433430464002
oct567554605620
9154140718100
1050427267984
111a427972895
129933ba6900
1349a843a912
142625392372
1514a2142b09
hexbbdb30b90

50427267984 has 300 divisors, whose sum is σ = 158823041520. Its totient is φ = 15403478400.

The previous prime is 50427267983. The next prime is 50427268007. The reversal of 50427267984 is 48976272405.

50427267984 is a `hidden beast` number, since 50 + 427 + 26 + 79 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 50427267984.

It is not an unprimeable number, because it can be changed into a prime (50427267983) 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 59 ways as a sum of consecutive naturals, for example, 23662599 + ... + 23664729.

Almost surely, 250427267984 is an apocalyptic number.

50427267984 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 50427267984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79411520760).

50427267984 is an abundant number, since it is smaller than the sum of its proper divisors (108395773536).

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

50427267984 is a wasteful number, since it uses less digits than its factorization.

50427267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 50427267984 in words is "fifty billion, four hundred twenty-seven million, two hundred sixty-seven thousand, nine hundred eighty-four".