| Base | Representation |
|---|---|
| bin | 10011011111001110001110… |
| … | …101001111000100000000000 |
| 3 | 102020110122112100020110221000 |
| 4 | 103133032032221320200000 |
| 5 | 42213221414212020210 |
| 6 | 502141531532332000 |
| 7 | 24024142452224244 |
| oct | 2337161651704000 |
| 9 | 366418470213830 |
| 10 | 85708465735680 |
| 11 | 25344835546867 |
| 12 | 9742a5b914000 |
| 13 | 38a9373252668 |
| 14 | 1724451b02424 |
| 15 | 9d9719558ac0 |
| hex | 4df38ea78800 |
85708465735680 has 1536 divisors, whose sum is σ = 336286295654400. Its totient is φ = 20611517644800.
The previous prime is 85708465735643. The next prime is 85708465735681. The reversal of 85708465735680 is 8653756480758.
85708465735680 is a `hidden beast` number, since 8 + 5 + 7 + 0 + 8 + 4 + 6 + 57 + 3 + 568 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 85708465735599 and 85708465735608.
It is not an unprimeable number, because it can be changed into a prime (85708465735681) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15007608025 + ... + 15007613735.
It is an arithmetic number, because the mean of its divisors is an integer number (218936390400).
Almost surely, 285708465735680 is an apocalyptic number.
85708465735680 is a gapful number since it is divisible by the number (80) 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 85708465735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168143147827200).
85708465735680 is an abundant number, since it is smaller than the sum of its proper divisors (250577829918720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85708465735680 is a wasteful number, since it uses less digits than its factorization.
85708465735680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5898 (or 5872 counting only the distinct ones).
The product of its (nonzero) digits is 1354752000, while the sum is 72.
The spelling of 85708465735680 in words is "eighty-five trillion, seven hundred eight billion, four hundred sixty-five million, seven hundred thirty-five thousand, six hundred eighty".
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