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50522214400 = 212527210069
BaseRepresentation
bin101111000011010110…
…111101000000000000
311211101222110102002221
4233003112331000000
51311432141330100
635113134220424
73435662510500
oct570326750000
9154358412087
1050522214400
111a4765224a9
12995b954714
1349c2002128
142633c29a00
1514aa64a01a
hexbc35bd000

50522214400 has 234 divisors, whose sum is σ = 145748114790. Its totient is φ = 17320181760.

The previous prime is 50522214383. The next prime is 50522214409. The reversal of 50522214400 is 441222505.

It can be written as a sum of positive squares in 3 ways, for example, as 746819584 + 49775394816 = 27328^2 + 223104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50522214409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5012566 + ... + 5022634.

Almost surely, 250522214400 is an apocalyptic number.

50522214400 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 50522214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72874057395).

50522214400 is an abundant number, since it is smaller than the sum of its proper divisors (95225900390).

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

50522214400 is a wasteful number, since it uses less digits than its factorization.

50522214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 50522214400 its reverse (441222505), we get a palindrome (50963436905).

The spelling of 50522214400 in words is "fifty billion, five hundred twenty-two million, two hundred fourteen thousand, four hundred".