Base | Representation |
---|---|
bin | 100011001000110000001… |
… | …1101110010110110000000 |
3 | 122002122220120122110022200 |
4 | 1012101200131302312000 |
5 | 1113110110341220442 |
6 | 14134253010033200 |
7 | 1005616061602260 |
oct | 106214035626600 |
9 | 18078816573280 |
10 | 4829161663872 |
11 | 15a2043955017 |
12 | 65bb10578800 |
13 | 290507553c00 |
14 | 129a386457a0 |
15 | 8593e4ca34c |
hex | 46460772d80 |
4829161663872 has 1152 divisors, whose sum is σ = 17893173841920. Its totient is φ = 1222760448000.
The previous prime is 4829161663831. The next prime is 4829161663891. The reversal of 4829161663872 is 2783661619284.
4829161663872 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 1 + 616 + 6 + 3 + 8 + 7 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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 143 ways as a sum of consecutive naturals, for example, 6379341318 + ... + 6379342074.
It is an arithmetic number, because the mean of its divisors is an integer number (15532268960).
Almost surely, 24829161663872 is an apocalyptic number.
4829161663872 is a gapful number since it is divisible by the number (42) 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 4829161663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946586920960).
4829161663872 is an abundant number, since it is smaller than the sum of its proper divisors (13064012178048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4829161663872 is a wasteful number, since it uses less digits than its factorization.
4829161663872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 992 (or 964 counting only the distinct ones).
The product of its digits is 41803776, while the sum is 63.
The spelling of 4829161663872 in words is "four trillion, eight hundred twenty-nine billion, one hundred sixty-one million, six hundred sixty-three thousand, eight hundred seventy-two".
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