| Base | Representation |
|---|---|
| bin | 101011100101100011… |
| … | …001000001100000000 |
| 3 | 11110210122002020001100 |
| 4 | 223211203020030000 |
| 5 | 1231322010122000 |
| 6 | 33300000534400 |
| 7 | 3244524531432 |
| oct | 534543101400 |
| 9 | 143718066040 |
| 10 | 46800864000 |
| 11 | 1893695a900 |
| 12 | 90a1621400 |
| 13 | 454b044547 |
| 14 | 239d8cc652 |
| 15 | 133dab7a00 |
| hex | ae58c8300 |
46800864000 has 1296 divisors, whose sum is σ = 198473708160. Its totient is φ = 10543104000.
The previous prime is 46800863999. The next prime is 46800864023. The reversal of 46800864000 is 46800864.
46800864000 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 0 + 8 + 640 + 0 + 0 = 666.
It is a super-2 number, since 2×468008640002 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592415961 + ... + 592416039.
Almost surely, 246800864000 is an apocalyptic number.
46800864000 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 46800864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99236854080).
46800864000 is an abundant number, since it is smaller than the sum of its proper divisors (151672844160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46800864000 is a wasteful number, since it uses less digits than its factorization.
46800864000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
Adding to 46800864000 its product of nonzero digits (36864), we get a palindrome (46800900864).
46800864000 divided by its reverse (46800864) gives a cube (1000 = 103).
The spelling of 46800864000 in words is "forty-six billion, eight hundred million, eight hundred sixty-four thousand".
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