Base | Representation |
---|---|
bin | 10011011101001111… |
… | …01100000000000000 |
3 | 222221222200020220210 |
4 | 21232213230000000 |
5 | 132343113112232 |
6 | 4444310234120 |
7 | 516600052155 |
oct | 115647540000 |
9 | 28858606823 |
10 | 10445832192 |
11 | 4480444374 |
12 | 2036355940 |
13 | ca61880c3 |
14 | 71145822c |
15 | 4120c65cc |
hex | 26e9ec000 |
10445832192 has 90 divisors (see below), whose sum is σ = 27915255844. Its totient is φ = 3474391040.
The previous prime is 10445832157. The next prime is 10445832197. The reversal of 10445832192 is 29123854401.
It is a self number, because there is not a number n which added to its sum of digits gives 10445832192.
It is not an unprimeable number, because it can be changed into a prime (10445832197) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 22658842 + ... + 22659302.
Almost surely, 210445832192 is an apocalyptic number.
10445832192 is a gapful number since it is divisible by the number (12) 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 10445832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957627922).
10445832192 is an abundant number, since it is smaller than the sum of its proper divisors (17469423652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10445832192 is an frugal number, since it uses more digits than its factorization.
10445832192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 953 (or 466 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 39.
The spelling of 10445832192 in words is "ten billion, four hundred forty-five million, eight hundred thirty-two thousand, one hundred ninety-two".
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