| Base | Representation |
|---|---|
| bin | 101100000111001010… |
| … | …100110100100000000 |
| 3 | 11112020221100012100000 |
| 4 | 230013022212210000 |
| 5 | 1234000401011120 |
| 6 | 33431545200000 |
| 7 | 3264513445212 |
| oct | 540712464400 |
| 9 | 145227305300 |
| 10 | 47364860160 |
| 11 | 190a6257532 |
| 12 | 921a490000 |
| 13 | 460ab45497 |
| 14 | 24147825b2 |
| 15 | 1373372990 |
| hex | b072a6900 |
47364860160 has 864 divisors, whose sum is σ = 180795888000. Its totient is φ = 11853692928.
The previous prime is 47364860159. The next prime is 47364860161. The reversal of 47364860160 is 6106846374.
It is a happy number.
47364860160 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 486 + 0 + 160 = 666.
It is an interprime number because it is at equal distance from previous prime (47364860159) and next prime (47364860161).
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (47364860161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532189396 + ... + 532189484.
It is an arithmetic number, because the mean of its divisors is an integer number (209254500).
Almost surely, 247364860160 is an apocalyptic number.
47364860160 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 47364860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90397944000).
47364860160 is an abundant number, since it is smaller than the sum of its proper divisors (133431027840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47364860160 is an equidigital number, since it uses as much as digits as its factorization.
47364860160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 213 (or 187 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 47364860160 in words is "forty-seven billion, three hundred sixty-four million, eight hundred sixty thousand, one hundred sixty".
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