| Base | Representation |
|---|---|
| bin | 1101110101101100110… |
| … | …00101001000110000000 |
| 3 | 1200110100212000121221000 |
| 4 | 12322312120221012000 |
| 5 | 30242314104100043 |
| 6 | 1002240010332000 |
| 7 | 46232326665030 |
| oct | 6726630510600 |
| 9 | 1613325017830 |
| 10 | 475506315648 |
| 11 | 17372aa11961 |
| 12 | 781a612a000 |
| 13 | 35abc79b220 |
| 14 | 1902c1d78c0 |
| 15 | c5806252d3 |
| hex | 6eb6629180 |
475506315648 has 2048 divisors, whose sum is σ = 2000388096000. Its totient is φ = 107495424000.
The previous prime is 475506315637. The next prime is 475506315677. The reversal of 475506315648 is 846513605574.
It is a happy number.
475506315648 is a `hidden beast` number, since 4 + 7 + 550 + 6 + 31 + 56 + 4 + 8 = 666.
It is a super-3 number, since 3×4755063156483 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 475506315594 and 475506315603.
It is a congruent number.
It is an unprimeable number.
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 255 ways as a sum of consecutive naturals, for example, 3149048373 + ... + 3149048523.
It is an arithmetic number, because the mean of its divisors is an integer number (976752000).
Almost surely, 2475506315648 is an apocalyptic number.
475506315648 is a gapful number since it is divisible by the number (48) 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 475506315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000194048000).
475506315648 is an abundant number, since it is smaller than the sum of its proper divisors (1524881780352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
475506315648 is a wasteful number, since it uses less digits than its factorization.
475506315648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 12096000, while the sum is 54.
The spelling of 475506315648 in words is "four hundred seventy-five billion, five hundred six million, three hundred fifteen thousand, six hundred forty-eight".
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