| Base | Representation |
|---|---|
| bin | 1101110100110010111… |
| … | …00110010101000000000 |
| 3 | 1200102010000120010110100 |
| 4 | 12322121130302220000 |
| 5 | 30240320320122000 |
| 6 | 1002115505402400 |
| 7 | 46214313503064 |
| oct | 6723134625000 |
| 9 | 1612100503410 |
| 10 | 475020864000 |
| 11 | 173500991951 |
| 12 | 7808b639400 |
| 13 | 35a4303b027 |
| 14 | 18dc394baa4 |
| 15 | c552bd2a00 |
| hex | 6e99732a00 |
475020864000 has 480 divisors, whose sum is σ = 1720203520464. Its totient is φ = 125986406400.
The previous prime is 475020863981. The next prime is 475020864001. The reversal of 475020864000 is 468020574.
475020864000 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 2 + 0 + 8 + 640 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2623078656 + 472397785344 = 51216^2 + 687312^2 .
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (475020864001) 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, 111165864 + ... + 111170136.
Almost surely, 2475020864000 is an apocalyptic number.
475020864000 is a gapful number since it is divisible by the number (40) 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 475020864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860101760232).
475020864000 is an abundant number, since it is smaller than the sum of its proper divisors (1245182656464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
475020864000 is a wasteful number, since it uses less digits than its factorization.
475020864000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4505 (or 4476 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
Adding to 475020864000 its reverse (468020574), we get a palindrome (475488884574).
The spelling of 475020864000 in words is "four hundred seventy-five billion, twenty million, eight hundred sixty-four thousand".
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