Base | Representation |
---|---|
bin | 1001000101111000… |
… | …10000101011100000 |
3 | 110121011211010100000 |
4 | 10202330100223200 |
5 | 34444041031400 |
6 | 2124204500000 |
7 | 231650266320 |
oct | 44274205340 |
9 | 13534733300 |
10 | 4881189600 |
11 | 2085338aa1 |
12 | b4284a600 |
13 | 5ca360291 |
14 | 3443b5280 |
15 | 1d87d8600 |
hex | 122f10ae0 |
4881189600 has 864 divisors, whose sum is σ = 21702110976. Its totient is φ = 1045094400.
The previous prime is 4881189589. The next prime is 4881189629. The reversal of 4881189600 is 69811884.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×48811896002 = 47652023822296320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23133495 + ... + 23133705.
It is an arithmetic number, because the mean of its divisors is an integer number (25118184).
Almost surely, 24881189600 is an apocalyptic number.
4881189600 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 4881189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10851055488).
4881189600 is an abundant number, since it is smaller than the sum of its proper divisors (16820921376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4881189600 is a wasteful number, since it uses less digits than its factorization.
4881189600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The square root of 4881189600 is about 69865.5108046882. The cubic root of 4881189600 is about 1696.3230331347.
It can be divided in two parts, 4881 and 189600, that added together give a 4-th power (194481 = 214).
The spelling of 4881189600 in words is "four billion, eight hundred eighty-one million, one hundred eighty-nine thousand, six hundred".
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