| Base | Representation |
|---|---|
| bin | 1001100001101000000110… |
| … | …10011011110000110000000 |
| 3 | 2202011110212022221120210000 |
| 4 | 10300310003103132012000 |
| 5 | 10221142124400010430 |
| 6 | 112314423515440000 |
| 7 | 4261225355155431 |
| oct | 460640323360600 |
| 9 | 82143768846700 |
| 10 | 20946610938240 |
| 11 | 6746453885699 |
| 12 | 2423715756000 |
| 13 | b8c345646670 |
| 14 | 525b6dc13488 |
| 15 | 264d09460e60 |
| hex | 130d034de180 |
20946610938240 has 1280 divisors, whose sum is σ = 83336011799040. Its totient is φ = 4979028787200.
The previous prime is 20946610938229. The next prime is 20946610938247. The reversal of 20946610938240 is 4283901664902.
20946610938240 is a `hidden beast` number, since 2 + 0 + 9 + 466 + 10 + 93 + 82 + 4 + 0 = 666.
It is a super-2 number, since 2×209466109382402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20946610938247) 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 159 ways as a sum of consecutive naturals, for example, 14143558300 + ... + 14143559780.
It is an arithmetic number, because the mean of its divisors is an integer number (65106259218).
Almost surely, 220946610938240 is an apocalyptic number.
20946610938240 is a gapful number since it is divisible by the number (20) 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 20946610938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41668005899520).
20946610938240 is an abundant number, since it is smaller than the sum of its proper divisors (62389400860800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20946610938240 is a wasteful number, since it uses less digits than its factorization.
20946610938240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2233 (or 2212 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 20946610938240 in words is "twenty trillion, nine hundred forty-six billion, six hundred ten million, nine hundred thirty-eight thousand, two hundred forty".
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