Search a number
-
+
50834740320 = 253357413229
BaseRepresentation
bin101111010101111111…
…001001010001100000
311212012202112101002000
4233111333021101200
51313102143142240
635204140524000
73446506110000
oct572577112140
9155182471060
1050834740320
111a616981891
129a28550600
134a41997400
142663540000
1514c7cd0430
hexbd5fc9460

50834740320 has 1440 divisors, whose sum is σ = 232507648800. Its totient is φ = 10355724288.

The previous prime is 50834740301. The next prime is 50834740357. The reversal of 50834740320 is 2304743805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1752922066 + ... + 1752922094.

It is an arithmetic number, because the mean of its divisors is an integer number (161463645).

Almost surely, 250834740320 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 50834740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116253824400).

50834740320 is an abundant number, since it is smaller than the sum of its proper divisors (181672908480).

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

50834740320 is a wasteful number, since it uses less digits than its factorization.

50834740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 50834740320 in words is "fifty billion, eight hundred thirty-four million, seven hundred forty thousand, three hundred twenty".