| Base | Representation |
|---|---|
| bin | 10100111111100011111001… |
| … | …00110010110101010000000 |
| 3 | 20001110021101100001022220000 |
| 4 | 22133301330212112222000 |
| 5 | 22022324142111121324 |
| 6 | 242103344310520000 |
| 7 | 12503160561265500 |
| oct | 1237617446265200 |
| 9 | 201407340038800 |
| 10 | 46164398926464 |
| 11 | 137892367661a5 |
| 12 | 5216b77966000 |
| 13 | 1c9b39033c630 |
| 14 | b585240d7a00 |
| 15 | 550c969179c9 |
| hex | 29fc7c996a80 |
46164398926464 has 3840 divisors, whose sum is σ = 190273177987200. Its totient is φ = 10970982973440.
The previous prime is 46164398926463. The next prime is 46164398926469. The reversal of 46164398926464 is 46462989346164.
46164398926464 is a `hidden beast` number, since 4 + 6 + 1 + 64 + 3 + 9 + 89 + 26 + 464 = 666.
46164398926464 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 (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 46164398926392 and 46164398926401.
It is not an unprimeable number, because it can be changed into a prime (46164398926463) by changing a digit.
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 479 ways as a sum of consecutive naturals, for example, 283217171247 + ... + 283217171409.
Almost surely, 246164398926464 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46164398926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95136588993600).
46164398926464 is an abundant number, since it is smaller than the sum of its proper divisors (144108779060736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46164398926464 is a wasteful number, since it uses less digits than its factorization.
46164398926464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333 (or 305 counting only the distinct ones).
The product of its digits is 1289945088, while the sum is 72.
The spelling of 46164398926464 in words is "forty-six trillion, one hundred sixty-four billion, three hundred ninety-eight million, nine hundred twenty-six thousand, four hundred sixty-four".
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