Base | Representation |
---|---|
bin | 101011111111100011… |
… | …000010100101000000 |
3 | 11111221000211200220000 |
4 | 223333203002211000 |
5 | 1233220141024030 |
6 | 33411141520000 |
7 | 3261402200655 |
oct | 537743024500 |
9 | 144830750800 |
10 | 47237048640 |
11 | 1904009a881 |
12 | 91a3713000 |
13 | 45ba514b72 |
14 | 24017d1c2c |
15 | 1367027860 |
hex | aff8c2940 |
47237048640 has 280 divisors, whose sum is σ = 177916298472. Its totient is φ = 11855462400.
The previous prime is 47237048609. The next prime is 47237048641. The reversal of 47237048640 is 4684073274.
47237048640 is a `hidden beast` number, since 47 + 23 + 70 + 486 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2031485184 + 45205563456 = 45072^2 + 212616^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47237048641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387040 + ... + 494240.
Almost surely, 247237048640 is an apocalyptic number.
47237048640 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 47237048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88958149236).
47237048640 is an abundant number, since it is smaller than the sum of its proper divisors (130679249832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47237048640 is a wasteful number, since it uses less digits than its factorization.
47237048640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107247 (or 107228 counting only the distinct ones).
The product of its (nonzero) digits is 903168, while the sum is 45.
The spelling of 47237048640 in words is "forty-seven billion, two hundred thirty-seven million, forty-eight thousand, six hundred forty".
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