| Base | Representation |
|---|---|
| bin | 101011101110110111… |
| … | …001111011110000000 |
| 3 | 11111012112010102222000 |
| 4 | 223232313033132000 |
| 5 | 1232132011203043 |
| 6 | 33323302144000 |
| 7 | 3251433014310 |
| oct | 535667173600 |
| 9 | 144175112860 |
| 10 | 46957131648 |
| 11 | 18a07093019 |
| 12 | 9125a22000 |
| 13 | 45745291cb |
| 14 | 23b6569440 |
| 15 | 134c6842d3 |
| hex | aeedcf780 |
46957131648 has 384 divisors, whose sum is σ = 161665593600. Its totient is φ = 13144135680.
The previous prime is 46957131647. The next prime is 46957131707. The reversal of 46957131648 is 84613175964.
46957131648 is a `hidden beast` number, since 4 + 6 + 9 + 571 + 3 + 1 + 64 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (4354560) is a multiple of the sum of its prime divisors (756).
It is a junction number, because it is equal to n+sod(n) for n = 46957131594 and 46957131603.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46957131647) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67954983 + ... + 67955673.
It is an arithmetic number, because the mean of its divisors is an integer number (421004150).
Almost surely, 246957131648 is an apocalyptic number.
46957131648 is a gapful number since it is divisible by the number (48) 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 46957131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832796800).
46957131648 is an abundant number, since it is smaller than the sum of its proper divisors (114708461952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46957131648 is an equidigital number, since it uses as much as digits as its factorization.
46957131648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 827 (or 756 counting only the distinct ones).
The product of its digits is 4354560, while the sum is 54.
The spelling of 46957131648 in words is "forty-six billion, nine hundred fifty-seven million, one hundred thirty-one thousand, six hundred forty-eight".
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