Base | Representation |
---|---|
bin | 10100011110001100… |
… | …01110110110000000 |
3 | 1001100221221220221200 |
4 | 22033012032312000 |
5 | 140002110211034 |
6 | 5014333021200 |
7 | 536234331501 |
oct | 121706166600 |
9 | 31327856850 |
10 | 10990710144 |
11 | 472aa73227 |
12 | 2168924800 |
13 | 10620240ab |
14 | 763972ba8 |
15 | 444d56a99 |
hex | 28f18ed80 |
10990710144 has 96 divisors (see below), whose sum is σ = 31729641840. Its totient is φ = 3651671040.
The previous prime is 10990710139. The next prime is 10990710163. The reversal of 10990710144 is 44101709901.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10990710099 and 10990710108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342934 + ... + 373610.
Almost surely, 210990710144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10990710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864820920).
10990710144 is an abundant number, since it is smaller than the sum of its proper divisors (20738931696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10990710144 is a wasteful number, since it uses less digits than its factorization.
10990710144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31008 (or 30993 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 36.
The spelling of 10990710144 in words is "ten billion, nine hundred ninety million, seven hundred ten thousand, one hundred forty-four".
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