| Base | Representation |
|---|---|
| bin | 101011000011011110… |
| … | …101010011110100000 |
| 3 | 11102022210112011021100 |
| 4 | 223003132222132200 |
| 5 | 1224134143042014 |
| 6 | 33123141354400 |
| 7 | 3224414204055 |
| oct | 530336523640 |
| 9 | 142283464240 |
| 10 | 46229268384 |
| 11 | 18673242632 |
| 12 | 8b62108a00 |
| 13 | 44897b25a0 |
| 14 | 2347a1b02c |
| 15 | 130880b009 |
| hex | ac37aa7a0 |
46229268384 has 144 divisors (see below), whose sum is σ = 142312919112. Its totient is φ = 14150467584.
The previous prime is 46229268373. The next prime is 46229268401. The reversal of 46229268384 is 48386292264.
46229268384 is a `hidden beast` number, since 4 + 622 + 9 + 2 + 6 + 8 + 3 + 8 + 4 = 666.
46229268384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 27102378384 + 19126890000 = 164628^2 + 138300^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct 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 46229268384.
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, 690604 + ... + 754580.
Almost surely, 246229268384 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 46229268384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71156459556).
46229268384 is an abundant number, since it is smaller than the sum of its proper divisors (96083650728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46229268384 is a wasteful number, since it uses less digits than its factorization.
46229268384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64199 (or 64188 counting only the distinct ones).
The product of its digits is 7962624, while the sum is 54.
The spelling of 46229268384 in words is "forty-six billion, two hundred twenty-nine million, two hundred sixty-eight thousand, three hundred eighty-four".
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