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54422445440 = 27511172231163
BaseRepresentation
bin110010101011110101…
…001001110110000000
312012110210102200021102
4302223311021312000
51342424121223230
641000141513532
73634432103456
oct625365116600
9165423380242
1054422445440
1121098062840
12a669b728a8
13519406124c
1428c3c0c9d6
151637c64045
hexcabd49d80

54422445440 has 384 divisors, whose sum is σ = 157461822720. Its totient is φ = 17800724480.

The previous prime is 54422445433. The next prime is 54422445461. The reversal of 54422445440 is 4454422445.

It is a junction number, because it is equal to n+sod(n) for n = 54422445394 and 54422445403.

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 47 ways as a sum of consecutive naturals, for example, 46794299 + ... + 46795461.

It is an arithmetic number, because the mean of its divisors is an integer number (410056830).

Almost surely, 254422445440 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 54422445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78730911360).

54422445440 is an abundant number, since it is smaller than the sum of its proper divisors (103039377280).

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

54422445440 is a wasteful number, since it uses less digits than its factorization.

54422445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

Adding to 54422445440 its reverse (4454422445), we get a palindrome (58876867885).

The spelling of 54422445440 in words is "fifty-four billion, four hundred twenty-two million, four hundred forty-five thousand, four hundred forty".