| Base | Representation |
|---|---|
| bin | 101100011110110011… |
| … | …101001101001000000 |
| 3 | 11120021120200102022000 |
| 4 | 230132303221221000 |
| 5 | 1240303420343030 |
| 6 | 33535154344000 |
| 7 | 3310401010614 |
| oct | 543663515100 |
| 9 | 146246612260 |
| 10 | 47761496640 |
| 11 | 1928a135380 |
| 12 | 930b28b000 |
| 13 | 4672079b20 |
| 14 | 245130d344 |
| 15 | 13980be860 |
| hex | b1ece9a40 |
47761496640 has 1792 divisors, whose sum is σ = 216295833600. Its totient is φ = 9754214400.
The previous prime is 47761496501. The next prime is 47761496641. The reversal of 47761496640 is 4669416774.
47761496640 is a `hidden beast` number, since 47 + 76 + 1 + 496 + 6 + 40 = 666.
It is a super-2 number, since 2×477614966402 (a number of 22 digits) contains 22 as substring.
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 Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (47761496641) 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 255 ways as a sum of consecutive naturals, for example, 1110732459 + ... + 1110732501.
It is an arithmetic number, because the mean of its divisors is an integer number (120700800).
Almost surely, 247761496640 is an apocalyptic number.
47761496640 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 47761496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108147916800).
47761496640 is an abundant number, since it is smaller than the sum of its proper divisors (168534336960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47761496640 is a wasteful number, since it uses less digits than its factorization.
47761496640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 6096384, while the sum is 54.
The spelling of 47761496640 in words is "forty-seven billion, seven hundred sixty-one million, four hundred ninety-six thousand, six hundred forty".
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