Base | Representation |
---|---|
bin | 1011010000010111110… |
… | …1110001111110000000 |
3 | 200111010112120012002020 |
4 | 2310011331301332000 |
5 | 11132012121003411 |
6 | 224500135321440 |
7 | 16653656364210 |
oct | 2640575617600 |
9 | 614115505066 |
10 | 193373609856 |
11 | 750113a8209 |
12 | 31588520280 |
13 | 1530954796b |
14 | 950601a240 |
15 | 506b859606 |
hex | 2d05f71f80 |
193373609856 has 128 divisors (see below), whose sum is σ = 588917122560. Its totient is φ = 55071713280.
The previous prime is 193373609851. The next prime is 193373609879. The reversal of 193373609856 is 658906373391.
193373609856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 193373609856.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (193373609851) 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 15 ways as a sum of consecutive naturals, for example, 720310 + ... + 951626.
It is an arithmetic number, because the mean of its divisors is an integer number (4600915020).
Almost surely, 2193373609856 is an apocalyptic number.
193373609856 is a gapful number since it is divisible by the number (16) 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 193373609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294458561280).
193373609856 is an abundant number, since it is smaller than the sum of its proper divisors (395543512704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193373609856 is a wasteful number, since it uses less digits than its factorization.
193373609856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 231652 (or 231640 counting only the distinct ones).
The product of its (nonzero) digits is 22044960, while the sum is 60.
The spelling of 193373609856 in words is "one hundred ninety-three billion, three hundred seventy-three million, six hundred nine thousand, eight hundred fifty-six".
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