Base | Representation |
---|---|
bin | 100010111110110000010… |
… | …1011110100110001000000 |
3 | 122000121111012212120212200 |
4 | 1011331200223310301000 |
5 | 1112232122232132110 |
6 | 14120342244353200 |
7 | 1004226024012255 |
oct | 105754053646100 |
9 | 18017435776780 |
10 | 4807690505280 |
11 | 1593a25a54853 |
12 | 6579199a5800 |
13 | 28b495144840 |
14 | 12899cc0742c |
15 | 850d45106c0 |
hex | 45f60af4c40 |
4807690505280 has 672 divisors, whose sum is σ = 18923852289888. Its totient is φ = 1109812838400.
The previous prime is 4807690505269. The next prime is 4807690505341. The reversal of 4807690505280 is 825050967084.
4807690505280 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 69 + 0 + 50 + 528 + 0 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 354949042176 + 4452741463104 = 595776^2 + 2110152^2 .
It is a super-3 number, since 3×48076905052803 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178837440 + ... + 178864320.
It is an arithmetic number, because the mean of its divisors is an integer number (28160494479).
Almost surely, 24807690505280 is an apocalyptic number.
4807690505280 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 4807690505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461926144944).
4807690505280 is an abundant number, since it is smaller than the sum of its proper divisors (14116161784608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4807690505280 is a wasteful number, since it uses less digits than its factorization.
4807690505280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27215 (or 27202 counting only the distinct ones).
The product of its (nonzero) digits is 4838400, while the sum is 54.
The spelling of 4807690505280 in words is "four trillion, eight hundred seven billion, six hundred ninety million, five hundred five thousand, two hundred eighty".
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