| Base | Representation |
|---|---|
| bin | 101101101100010101001010… |
| … | …000010011110100101000000 |
| 3 | 222100112102221002100021001200 |
| 4 | 231230111022002132211000 |
| 5 | 202320000420021213224 |
| 6 | 1551223013435101200 |
| 7 | 60220525102223310 |
| oct | 5554251202364500 |
| 9 | 870472832307050 |
| 10 | 200958466976064 |
| 11 | 590390096a4676 |
| 12 | 1a65711bba1800 |
| 13 | 88193c09bc6c5 |
| 14 | 378a628041440 |
| 15 | 18375ce44e5c9 |
| hex | b6c54a09e940 |
200958466976064 has 672 divisors, whose sum is σ = 680740465816320. Its totient is φ = 55481183207424.
The previous prime is 200958466976023. The next prime is 200958466976123. The reversal of 200958466976064 is 460679664859002.
200958466976064 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 5 + 8 + 4 + 6 + 6 + 9 + 7 + 606 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 200958466975983 and 200958466976001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49339174732 + ... + 49339178804.
It is an arithmetic number, because the mean of its divisors is an integer number (1013006645560).
Almost surely, 2200958466976064 is an apocalyptic number.
200958466976064 is a gapful number since it is divisible by the number (24) 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 200958466976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340370232908160).
200958466976064 is an abundant number, since it is smaller than the sum of its proper divisors (479781998840256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200958466976064 is a wasteful number, since it uses less digits than its factorization.
200958466976064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6327 (or 6314 counting only the distinct ones).
The product of its (nonzero) digits is 940584960, while the sum is 72.
The spelling of 200958466976064 in words is "two hundred trillion, nine hundred fifty-eight billion, four hundred sixty-six million, nine hundred seventy-six thousand, sixty-four".
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