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50100422400 = 283352726197
BaseRepresentation
bin101110101010001101…
…111100011100000000
311210022120210011021000
4232222031330130000
51310101202004100
635003225532000
73422351364300
oct565215743400
9153276704230
1050100422400
111a27a422976
129862644000
134955800872
1425d3bd1600
1514835ce900
hexbaa37c700

50100422400 has 1296 divisors, whose sum is σ = 219449808480. Its totient is φ = 11147673600.

The previous prime is 50100422369. The next prime is 50100422413. The reversal of 50100422400 is 422400105.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 516499152 + ... + 516499248.

Almost surely, 250100422400 is an apocalyptic number.

50100422400 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 50100422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109724904240).

50100422400 is an abundant number, since it is smaller than the sum of its proper divisors (169349386080).

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

50100422400 is a wasteful number, since it uses less digits than its factorization.

50100422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 50100422400 its reverse (422400105), we get a palindrome (50522822505).

The spelling of 50100422400 in words is "fifty billion, one hundred million, four hundred twenty-two thousand, four hundred".