| Base | Representation |
|---|---|
| bin | 100111101010111100… |
| … | …0110110101010000000 |
| 3 | 22010220020100011000000 |
| 4 | 1033111320312222000 |
| 5 | 2343433331021233 |
| 6 | 103045334000000 |
| 7 | 6104105050260 |
| oct | 1172570665200 |
| 9 | 263806304000 |
| 10 | 85192829568 |
| 11 | 33148149870 |
| 12 | 14616aa6000 |
| 13 | 8058c0a032 |
| 14 | 41a26b37a0 |
| 15 | 2339314d13 |
| hex | 13d5e36a80 |
85192829568 has 896 divisors, whose sum is σ = 323648317440. Its totient is φ = 21685708800.
The previous prime is 85192829567. The next prime is 85192829581. The reversal of 85192829568 is 86592829158.
85192829568 is a `hidden beast` number, since 8 + 519 + 28 + 2 + 95 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (896).
It is a Smith number, since the sum of its digits (63) 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 (63).
Its product of digits (24883200) is a multiple of the sum of its prime factors (288).
It is not an unprimeable number, because it can be changed into a prime (85192829567) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 510136621 + ... + 510136787.
It is an arithmetic number, because the mean of its divisors is an integer number (361214640).
Almost surely, 285192829568 is an apocalyptic number.
85192829568 is a gapful number since it is divisible by the number (88) 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 85192829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161824158720).
85192829568 is an abundant number, since it is smaller than the sum of its proper divisors (238455487872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85192829568 is a wasteful number, since it uses less digits than its factorization.
85192829568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 261 counting only the distinct ones).
The product of its digits is 24883200, while the sum is 63.
The spelling of 85192829568 in words is "eighty-five billion, one hundred ninety-two million, eight hundred twenty-nine thousand, five hundred sixty-eight".
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