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50381770400 = 255213312712
BaseRepresentation
bin101110111010111111…
…001100111010100000
311211001012012010011022
4232322333030322200
51311140213123100
635051200105012
73432335660663
oct567277147240
9154035163138
1050381770400
111a404217885
129920905168
13499bb9a980
14261d30b6da
15149d156e85
hexbbafccea0

50381770400 has 324 divisors, whose sum is σ = 138821048478. Its totient is φ = 17748864000.

The previous prime is 50381770381. The next prime is 50381770403. The reversal of 50381770400 is 407718305.

It can be written as a sum of positive squares in 3 ways, for example, as 27981260176 + 22400510224 = 167276^2 + 149668^2 .

It is not an unprimeable number, because it can be changed into a prime (50381770403) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 709602365 + ... + 709602435.

Almost surely, 250381770400 is an apocalyptic number.

50381770400 is a gapful number since it is divisible by the number (50) 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 50381770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69410524239).

50381770400 is an abundant number, since it is smaller than the sum of its proper divisors (88439278078).

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

50381770400 is a wasteful number, since it uses less digits than its factorization.

50381770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 50381770400 in words is "fifty billion, three hundred eighty-one million, seven hundred seventy thousand, four hundred".