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54991842120 = 233251966112163
BaseRepresentation
bin110011001101110001…
…001110101101001000
312020221110212000200100
4303031301032231020
51400110402421440
641132442005400
73654514642215
oct631561165510
9166843760610
1054991842120
112135a508a06
12a7a87a6860
135255003367
1429396aab0c
15166cc39230
hexccdc4eb48

54991842120 has 192 divisors, whose sum is σ = 188430091200. Its totient is φ = 13870517760.

The previous prime is 54991842119. The next prime is 54991842127. The reversal of 54991842120 is 2124819945.

It is a happy number.

54991842120 is a `hidden beast` number, since 549 + 9 + 1 + 84 + 2 + 1 + 20 = 666.

54991842120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54991842127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515159 + ... + 4527321.

It is an arithmetic number, because the mean of its divisors is an integer number (981406725).

Almost surely, 254991842120 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 54991842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94215045600).

54991842120 is an abundant number, since it is smaller than the sum of its proper divisors (133438249080).

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

54991842120 is a wasteful number, since it uses less digits than its factorization.

54991842120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 54991842120 in words is "fifty-four billion, nine hundred ninety-one million, eight hundred forty-two thousand, one hundred twenty".