| Base | Representation |
|---|---|
| bin | 101011110100011010011000… |
| … | …1110101111111100100010000 |
| 3 | 1212112201021101110010102011200 |
| 4 | 1113220310301311333210100 |
| 5 | 401004433344031113140 |
| 6 | 3443430342251311200 |
| 7 | 144120536624343444 |
| oct | 12750646165774420 |
| 9 | 1775637343112150 |
| 10 | 385435496347920 |
| 11 | 1018a2304451047 |
| 12 | 3728bb93a4b500 |
| 13 | 1370b546966c95 |
| 14 | 6b2726b326824 |
| 15 | 2e860dd7d9030 |
| hex | 15e8d31d7f910 |
385435496347920 has 240 divisors, whose sum is σ = 1370816526970800. Its totient is φ = 96718877392896.
The previous prime is 385435496347901. The next prime is 385435496347991. The reversal of 385435496347920 is 29743694534583.
It is a happy number.
385435496347920 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 3 + 5 + 496 + 3 + 47 + 92 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 516052583424 + 384919443764496 = 718368^2 + 19619364^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63397506 + ... + 69210654.
It is an arithmetic number, because the mean of its divisors is an integer number (5711735529045).
Almost surely, 2385435496347920 is an apocalyptic number.
385435496347920 is a gapful number since it is divisible by the number (30) 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 385435496347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685408263485400).
385435496347920 is an abundant number, since it is smaller than the sum of its proper divisors (985381030622880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
385435496347920 is a wasteful number, since it uses less digits than its factorization.
385435496347920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5818602 (or 5818593 counting only the distinct ones).
The product of its (nonzero) digits is 2351462400, while the sum is 72.
The spelling of 385435496347920 in words is "three hundred eighty-five trillion, four hundred thirty-five billion, four hundred ninety-six million, three hundred forty-seven thousand, nine hundred twenty".
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