| Base | Representation |
|---|---|
| bin | 101010111110010011… |
| … | …001111101010000000 |
| 3 | 11102002202001012222100 |
| 4 | 222332103033222000 |
| 5 | 1223444422420424 |
| 6 | 33110355310400 |
| 7 | 3222310556025 |
| oct | 527623175200 |
| 9 | 142082035870 |
| 10 | 46142388864 |
| 11 | 186291a2780 |
| 12 | 8b38bab400 |
| 13 | 44747b3aa0 |
| 14 | 233a28354c |
| 15 | 1300d98dc9 |
| hex | abe4cfa80 |
46142388864 has 192 divisors, whose sum is σ = 155993292000. Its totient is φ = 12906915840.
The previous prime is 46142388847. The next prime is 46142388881. The reversal of 46142388864 is 46888324164.
It is a happy number.
46142388864 is a `hidden beast` number, since 4 + 61 + 423 + 88 + 86 + 4 = 666.
46142388864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (46142388847) and next prime (46142388881).
It is a tau number, because it is divible by the number of its divisors (192).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 46142388864.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24687 + ... + 304785.
Almost surely, 246142388864 is an apocalyptic number.
46142388864 is a gapful number since it is divisible by the number (44) 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 46142388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77996646000).
46142388864 is an abundant number, since it is smaller than the sum of its proper divisors (109850903136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46142388864 is a wasteful number, since it uses less digits than its factorization.
46142388864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280143 (or 280128 counting only the distinct ones).
The product of its digits is 7077888, while the sum is 54.
The spelling of 46142388864 in words is "forty-six billion, one hundred forty-two million, three hundred eighty-eight thousand, eight hundred sixty-four".
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