Base | Representation |
---|---|
bin | 10100000111100010… |
… | …01110001111000000 |
3 | 1000212201100000220101 |
4 | 22003301032033000 |
5 | 134104431400443 |
6 | 4543423252144 |
7 | 531436015660 |
oct | 120361161700 |
9 | 30781300811 |
10 | 10800653248 |
11 | 4642761710 |
12 | 211514a054 |
13 | 103183b7a8 |
14 | 74661c1a0 |
15 | 43331384d |
hex | 283c4e3c0 |
10800653248 has 112 divisors (see below), whose sum is σ = 28293145344. Its totient is φ = 3960483840.
The previous prime is 10800653207. The next prime is 10800653249. The reversal of 10800653248 is 84235600801.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×108006532482 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10800653249) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19315 + ... + 148237.
Almost surely, 210800653248 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 10800653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146572672).
10800653248 is an abundant number, since it is smaller than the sum of its proper divisors (17492492096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10800653248 is a wasteful number, since it uses less digits than its factorization.
10800653248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128970 (or 128960 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 37.
The spelling of 10800653248 in words is "ten billion, eight hundred million, six hundred fifty-three thousand, two hundred forty-eight".
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