Base | Representation |
---|---|
bin | 101100100110000000111011… |
… | …100111011101101011000000 |
3 | 221201102111111010000022010100 |
4 | 230212000323213131223000 |
5 | 201201313320010233230 |
6 | 1533043115051202400 |
7 | 56211443461401000 |
oct | 5446007347355300 |
9 | 851374433008110 |
10 | 196126386805440 |
11 | 57545808390303 |
12 | 19bb6736146400 |
13 | 855883c918230 |
14 | 36607d3d68000 |
15 | 17a1a6db2b660 |
hex | b2603b9ddac0 |
196126386805440 has 1344 divisors, whose sum is σ = 876428515872000. Its totient is φ = 39953522294784.
The previous prime is 196126386805403. The next prime is 196126386805457. The reversal of 196126386805440 is 44508683621691.
196126386805440 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 2 + 6 + 3 + 8 + 6 + 80 + 544 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×1961263868054403 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372152364 + ... + 372678996.
It is an arithmetic number, because the mean of its divisors is an integer number (652104550500).
Almost surely, 2196126386805440 is an apocalyptic number.
196126386805440 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 196126386805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438214257936000).
196126386805440 is an abundant number, since it is smaller than the sum of its proper divisors (680302129066560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196126386805440 is a wasteful number, since it uses less digits than its factorization.
196126386805440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526719 (or 526692 counting only the distinct ones).
The product of its (nonzero) digits is 59719680, while the sum is 63.
The spelling of 196126386805440 in words is "one hundred ninety-six trillion, one hundred twenty-six billion, three hundred eighty-six million, eight hundred five thousand, four hundred forty".
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