Base | Representation |
---|---|
bin | 100000010100110… |
… | …1011001001100000 |
3 | 2210120222202200000 |
4 | 1000221223021200 |
5 | 4210133311324 |
6 | 255344100000 |
7 | 35610340620 |
oct | 10051531140 |
9 | 2716882600 |
10 | 1084666464 |
11 | 5072a1a72 |
12 | 263304600 |
13 | 14394259b |
14 | a40aa880 |
15 | 653579c9 |
hex | 40a6b260 |
1084666464 has 144 divisors (see below), whose sum is σ = 3655911168. Its totient is φ = 309889152.
The previous prime is 1084666459. The next prime is 1084666477. The reversal of 1084666464 is 4646664801.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44469 + ... + 64395.
It is an arithmetic number, because the mean of its divisors is an integer number (25388272).
Almost surely, 21084666464 is an apocalyptic number.
1084666464 is a gapful number since it is divisible by the number (14) 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 1084666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827955584).
1084666464 is an abundant number, since it is smaller than the sum of its proper divisors (2571244704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1084666464 is an equidigital number, since it uses as much as digits as its factorization.
1084666464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19959 (or 19939 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The square root of 1084666464 is about 32934.2749123159. The cubic root of 1084666464 is about 1027.4611376425.
The spelling of 1084666464 in words is "one billion, eighty-four million, six hundred sixty-six thousand, four hundred sixty-four".
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