Base | Representation |
---|---|
bin | 101100100010010110110011… |
… | …001011010011001000000000 |
3 | 221200112110120210211221200200 |
4 | 230202112303023103020000 |
5 | 201133203434320231124 |
6 | 1532331421125045200 |
7 | 56154333561510330 |
oct | 5442266313231000 |
9 | 850473523757620 |
10 | 195874989617664 |
11 | 57459131209215 |
12 | 19b75a75856800 |
13 | 853ac17253916 |
14 | 3652585b770c0 |
15 | 179a258325bc9 |
hex | b225b32d3200 |
195874989617664 has 480 divisors, whose sum is σ = 680955459275520. Its totient is φ = 53014947987456.
The previous prime is 195874989617623. The next prime is 195874989617669. The reversal of 195874989617664 is 466716989478591.
195874989617664 is a `hidden beast` number, since 1 + 9 + 58 + 7 + 498 + 9 + 6 + 1 + 7 + 6 + 64 = 666.
It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (195874989617669) 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 47 ways as a sum of consecutive naturals, for example, 47602029 + ... + 51552915.
It is an arithmetic number, because the mean of its divisors is an integer number (1418657206824).
Almost surely, 2195874989617664 is an apocalyptic number.
195874989617664 is a gapful number since it is divisible by the number (14) 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 195874989617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340477729637760).
195874989617664 is an abundant number, since it is smaller than the sum of its proper divisors (485080469657856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
195874989617664 is a wasteful number, since it uses less digits than its factorization.
195874989617664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3951000 (or 3950981 counting only the distinct ones).
The product of its digits is 39504568320, while the sum is 90.
The spelling of 195874989617664 in words is "one hundred ninety-five trillion, eight hundred seventy-four billion, nine hundred eighty-nine million, six hundred seventeen thousand, six hundred sixty-four".
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