Base | Representation |
---|---|
bin | 101100100110000111010101… |
… | …000010010010011000000000 |
3 | 221201110011012211002020022001 |
4 | 230212013111002102120000 |
5 | 201201421401430442100 |
6 | 1533050212423553344 |
7 | 56212105626241210 |
oct | 5446072502223000 |
9 | 851404184066261 |
10 | 196133255718400 |
11 | 57548712740280 |
12 | 19bb7b325bb854 |
13 | 8559395a14980 |
14 | 3660c86320240 |
15 | 17a1d21b9ed6a |
hex | b261d5092600 |
196133255718400 has 960 divisors, whose sum is σ = 670080082129920. Its totient is φ = 54904681267200.
The previous prime is 196133255718287. The next prime is 196133255718419. The reversal of 196133255718400 is 4817552331691.
It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (55).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 473866741 + ... + 474280459.
It is an arithmetic number, because the mean of its divisors is an integer number (698000085552).
It is a 1-persistent number, because it is pandigital, but 2⋅196133255718400 = 392266511436800 is not.
Almost surely, 2196133255718400 is an apocalyptic number.
196133255718400 is a gapful number since it is divisible by the number (10) 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 196133255718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335040041064960).
196133255718400 is an abundant number, since it is smaller than the sum of its proper divisors (473946826411520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196133255718400 is a wasteful number, since it uses less digits than its factorization.
196133255718400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 413815 (or 413794 counting only the distinct ones).
The product of its (nonzero) digits is 5443200, while the sum is 55.
The spelling of 196133255718400 in words is "one hundred ninety-six trillion, one hundred thirty-three billion, two hundred fifty-five million, seven hundred eighteen thousand, four hundred".
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