| Base | Representation |
|---|---|
| bin | 101011110000000110… |
| … | …111111001101010000 |
| 3 | 11111020222110112010000 |
| 4 | 223300012333031100 |
| 5 | 1232202334132220 |
| 6 | 33325330210000 |
| 7 | 3252105502500 |
| oct | 536006771520 |
| 9 | 144228415100 |
| 10 | 46978036560 |
| 11 | 18a17971204 |
| 12 | 9130a23900 |
| 13 | 4578968490 |
| 14 | 23b924ba00 |
| 15 | 134e413390 |
| hex | af01bf350 |
46978036560 has 1200 divisors, whose sum is σ = 215517456000. Its totient is φ = 9374496768.
The previous prime is 46978036559. The next prime is 46978036619. The reversal of 46978036560 is 6563087964.
46978036560 is a `hidden beast` number, since 4 + 6 + 9 + 78 + 0 + 3 + 6 + 560 = 666.
46978036560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 46978036497 and 46978036506.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78427141 + ... + 78427739.
It is an arithmetic number, because the mean of its divisors is an integer number (179597880).
Almost surely, 246978036560 is an apocalyptic number.
46978036560 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 46978036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728000).
46978036560 is an abundant number, since it is smaller than the sum of its proper divisors (168539419440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46978036560 is a wasteful number, since it uses less digits than its factorization.
46978036560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 670 (or 648 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 46978036560 in words is "forty-six billion, nine hundred seventy-eight million, thirty-six thousand, five hundred sixty".
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