Base | Representation |
---|---|
bin | 11000100110110010… |
… | …10111111100100000 |
3 | 1021002122112211012000 |
4 | 30103121113330200 |
5 | 204023320230142 |
6 | 10022503004000 |
7 | 645235605303 |
oct | 142331277440 |
9 | 37078484160 |
10 | 13210320672 |
11 | 566997749a |
12 | 2688139600 |
13 | 1326b307c3 |
14 | 8d4676b3a |
15 | 524b4914c |
hex | 313657f20 |
13210320672 has 96 divisors (see below), whose sum is σ = 38595110400. Its totient is φ = 4396011264.
The previous prime is 13210320667. The next prime is 13210320677. The reversal of 13210320672 is 27602301231.
13210320672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13210320667) and next prime (13210320677).
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 (27).
It is not an unprimeable number, because it can be changed into a prime (13210320677) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511854 + ... + 537042.
It is an arithmetic number, because the mean of its divisors is an integer number (402032400).
Almost surely, 213210320672 is an apocalyptic number.
13210320672 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 13210320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297555200).
13210320672 is an abundant number, since it is smaller than the sum of its proper divisors (25384789728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13210320672 is a wasteful number, since it uses less digits than its factorization.
13210320672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25815 (or 25801 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The spelling of 13210320672 in words is "thirteen billion, two hundred ten million, three hundred twenty thousand, six hundred seventy-two".
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