Base | Representation |
---|---|
bin | 1011001111101110001… |
… | …0000001101111010000 |
3 | 200110200100011211220210 |
4 | 2303323202001233100 |
5 | 11131132312443011 |
6 | 224430523404120 |
7 | 16646432453310 |
oct | 2637342015720 |
9 | 613610154823 |
10 | 193198562256 |
11 | 74a31608377 |
12 | 31539983640 |
13 | 152ac1b8cbb |
14 | 94caa91440 |
15 | 505b2cd6a6 |
hex | 2cfb881bd0 |
193198562256 has 160 divisors (see below), whose sum is σ = 573451709440. Its totient is φ = 54904614912.
The previous prime is 193198562251. The next prime is 193198562257. The reversal of 193198562256 is 652265891391.
It is a happy number.
193198562256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 193198562196 and 193198562205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (193198562251) 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 31 ways as a sum of consecutive naturals, for example, 63992715 + ... + 63995733.
It is an arithmetic number, because the mean of its divisors is an integer number (3584073184).
Almost surely, 2193198562256 is an apocalyptic number.
193198562256 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 193198562256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286725854720).
193198562256 is an abundant number, since it is smaller than the sum of its proper divisors (380253147184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193198562256 is a wasteful number, since it uses less digits than its factorization.
193198562256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3993 (or 3987 counting only the distinct ones).
The product of its digits is 6998400, while the sum is 57.
The spelling of 193198562256 in words is "one hundred ninety-three billion, one hundred ninety-eight million, five hundred sixty-two thousand, two hundred fifty-six".
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