Base | Representation |
---|---|
bin | 110010100000010010… |
… | …101011101110000000 |
3 | 12011222022011111200000 |
4 | 302200102223232000 |
5 | 1342030042003101 |
6 | 40525024400000 |
7 | 3626561463000 |
oct | 624022535600 |
9 | 164868144600 |
10 | 54228859776 |
11 | 20aa8860a93 |
12 | a615176000 |
13 | 5162c11710 |
14 | 28a621a000 |
15 | 1625c75486 |
hex | ca04abb80 |
54228859776 has 1536 divisors, whose sum is σ = 224550144000. Its totient is φ = 12875563008.
The previous prime is 54228859757. The next prime is 54228859781. The reversal of 54228859776 is 67795882245.
54228859776 is a `hidden beast` number, since 542 + 2 + 8 + 85 + 9 + 7 + 7 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2357776501 + ... + 2357776523.
It is an arithmetic number, because the mean of its divisors is an integer number (146191500).
Almost surely, 254228859776 is an apocalyptic number.
54228859776 is a gapful number since it is divisible by the number (56) 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 54228859776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072000).
54228859776 is an abundant number, since it is smaller than the sum of its proper divisors (170321284224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54228859776 is a wasteful number, since it uses less digits than its factorization.
54228859776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 65 counting only the distinct ones).
The product of its digits is 67737600, while the sum is 63.
The spelling of 54228859776 in words is "fifty-four billion, two hundred twenty-eight million, eight hundred fifty-nine thousand, seven hundred seventy-six".
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