Base | Representation |
---|---|
bin | 10110100111001100111110… |
… | …01010001101000100000000 |
3 | 20112001201020001110201000000 |
4 | 23103212133022031010000 |
5 | 23004200314144404310 |
6 | 253431325444000000 |
7 | 13321356260352000 |
oct | 1323463712150400 |
9 | 215051201421000 |
10 | 49725506638080 |
11 | 14931518179579 |
12 | 56b1177690000 |
13 | 2199131098230 |
14 | c3ca27c52000 |
15 | 5b371b89d4c0 |
hex | 2d399f28d100 |
49725506638080 has 8064 divisors, whose sum is σ = 256723979904000. Its totient is φ = 9101852540928.
The previous prime is 49725506638019. The next prime is 49725506638081. The reversal of 49725506638080 is 8083660552794.
It is a happy number.
49725506638080 is a `hidden beast` number, since 4 + 9 + 72 + 5 + 50 + 66 + 380 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (8064).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 49725506637999 and 49725506638017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (49725506638081) by changing a digit.
It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1343932611822 + ... + 1343932611858.
It is an arithmetic number, because the mean of its divisors is an integer number (31835811000).
Almost surely, 249725506638080 is an apocalyptic number.
49725506638080 is a gapful number since it is divisible by the number (40) 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 49725506638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128361989952000).
49725506638080 is an abundant number, since it is smaller than the sum of its proper divisors (206998473265920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49725506638080 is a wasteful number, since it uses less digits than its factorization.
49725506638080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 103 counting only the distinct ones).
The product of its (nonzero) digits is 87091200, while the sum is 63.
The spelling of 49725506638080 in words is "forty-nine trillion, seven hundred twenty-five billion, five hundred six million, six hundred thirty-eight thousand, eighty".
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