| Base | Representation |
|---|---|
| bin | 100110110001110100… |
| … | …101110100011100000 |
| 3 | 10222110211102101111100 |
| 4 | 212301310232203200 |
| 5 | 1140233323020242 |
| 6 | 31043412514400 |
| 7 | 3002554653120 |
| oct | 466164564340 |
| 9 | 128424371440 |
| 10 | 41638095072 |
| 11 | 1672768a122 |
| 12 | 80a061ba00 |
| 13 | 3c07565aa2 |
| 14 | 202dd7ac80 |
| 15 | 113a70d54c |
| hex | 9b1d2e8e0 |
41638095072 has 288 divisors, whose sum is σ = 144407128320. Its totient is φ = 11115325440.
The previous prime is 41638095047. The next prime is 41638095073. The reversal of 41638095072 is 27059083614.
41638095072 is a `hidden beast` number, since 4 + 1 + 63 + 80 + 9 + 507 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×416380950722 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41638095073) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 2788747 + ... + 2803637.
It is an arithmetic number, because the mean of its divisors is an integer number (501413640).
It is a 1-persistent number, because it is pandigital, but 2⋅41638095072 = 83276190144 is not.
Almost surely, 241638095072 is an apocalyptic number.
41638095072 is a gapful number since it is divisible by the number (42) 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 41638095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72203564160).
41638095072 is an abundant number, since it is smaller than the sum of its proper divisors (102769033248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41638095072 is a wasteful number, since it uses less digits than its factorization.
41638095072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15006 (or 14995 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 41638095072 in words is "forty-one billion, six hundred thirty-eight million, ninety-five thousand, seventy-two".
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