| Base | Representation |
|---|---|
| bin | 10111100111110011010101… |
| … | …11111010100001000000000 |
| 3 | 20210220220110101101212222000 |
| 4 | 23303321222333110020000 |
| 5 | 23302032111120211344 |
| 6 | 302251132452144000 |
| 7 | 13640624506141050 |
| oct | 1363715277241000 |
| 9 | 223826411355860 |
| 10 | 51945129460224 |
| 11 | 15607895412240 |
| 12 | 59ab392908000 |
| 13 | 22ca535145920 |
| 14 | cb822c965560 |
| 15 | 60132a8b4a69 |
| hex | 2f3e6afd4200 |
51945129460224 has 1280 divisors, whose sum is σ = 208348664832000. Its totient is φ = 12339758039040.
The previous prime is 51945129460207. The next prime is 51945129460247. The reversal of 51945129460224 is 42206492154915.
It is a happy number.
51945129460224 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 5 + 1 + 2 + 9 + 4 + 602 + 24 = 666.
51945129460224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 127 ways as a sum of consecutive naturals, for example, 1508305597 + ... + 1508340035.
It is an arithmetic number, because the mean of its divisors is an integer number (162772394400).
Almost surely, 251945129460224 is an apocalyptic number.
51945129460224 is a gapful number since it is divisible by the number (54) 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 51945129460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104174332416000).
51945129460224 is an abundant number, since it is smaller than the sum of its proper divisors (156403535371776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51945129460224 is a wasteful number, since it uses less digits than its factorization.
51945129460224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34606 (or 34584 counting only the distinct ones).
The product of its (nonzero) digits is 6220800, while the sum is 54.
The spelling of 51945129460224 in words is "fifty-one trillion, nine hundred forty-five billion, one hundred twenty-nine million, four hundred sixty thousand, two hundred twenty-four".
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