Base | Representation |
---|---|
bin | 10011110101000101… |
… | …00001001010000000 |
3 | 1000110220221212012000 |
4 | 21322202201022000 |
5 | 133300311204043 |
6 | 4520212304000 |
7 | 524545560264 |
oct | 117242411200 |
9 | 30426855160 |
10 | 10645803648 |
11 | 4573307937 |
12 | 2091312000 |
13 | 10087323cc |
14 | 72dc300a4 |
15 | 4249272d3 |
hex | 27a8a1280 |
10645803648 has 128 divisors (see below), whose sum is σ = 33268320000. Its totient is φ = 3339841536.
The previous prime is 10645803629. The next prime is 10645803653. The reversal of 10645803648 is 84630854601.
10645803648 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 580 + 3 + 64 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×106458036482 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31848 + ... + 149351.
It is an arithmetic number, because the mean of its divisors is an integer number (259908750).
Almost surely, 210645803648 is an apocalyptic number.
10645803648 is a gapful number since it is divisible by the number (18) 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 10645803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634160000).
10645803648 is an abundant number, since it is smaller than the sum of its proper divisors (22622516352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10645803648 is a wasteful number, since it uses less digits than its factorization.
10645803648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 181239 (or 181221 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 10645803648 in words is "ten billion, six hundred forty-five million, eight hundred three thousand, six hundred forty-eight".
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