Base | Representation |
---|---|
bin | 10011101110110010… |
… | …11011000111110000 |
3 | 1000100020202121220000 |
4 | 21313121123013300 |
5 | 133143312303414 |
6 | 4511050350000 |
7 | 523335522303 |
oct | 116731330760 |
9 | 30306677800 |
10 | 10593087984 |
11 | 4546581876 |
12 | 207772b300 |
13 | cca835bcb |
14 | 726c2ab3a |
15 | 41eeb2b09 |
hex | 27765b1f0 |
10593087984 has 150 divisors (see below), whose sum is σ = 31756416120. Its totient is φ = 3408918912.
The previous prime is 10593087983. The next prime is 10593088007. The reversal of 10593087984 is 48978039501.
It is a super-2 number, since 2×105930879842 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 10593087984.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10593087983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1085077 + ... + 1094795.
Almost surely, 210593087984 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 10593087984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878208060).
10593087984 is an abundant number, since it is smaller than the sum of its proper divisors (21163328136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10593087984 is an equidigital number, since it uses as much as digits as its factorization.
10593087984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9797 (or 9753 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The spelling of 10593087984 in words is "ten billion, five hundred ninety-three million, eighty-seven thousand, nine hundred eighty-four".
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