| Base | Representation |
|---|---|
| bin | 100111101010111000… |
| … | …0101101001001100000 |
| 3 | 22010220002022121211100 |
| 4 | 1033111300231021200 |
| 5 | 2343432304142342 |
| 6 | 103045220114400 |
| 7 | 6104050642503 |
| oct | 1172560551140 |
| 9 | 263802277740 |
| 10 | 85190693472 |
| 11 | 33146a1a9a5 |
| 12 | 14616235a00 |
| 13 | 805863c981 |
| 14 | 41a22b913a |
| 15 | 2339041e4c |
| hex | 13d5c2d260 |
85190693472 has 144 divisors (see below), whose sum is σ = 248728635792. Its totient is φ = 27641917440.
The previous prime is 85190693461. The next prime is 85190693491. The reversal of 85190693472 is 27439609158.
85190693472 is a `hidden beast` number, since 85 + 1 + 9 + 0 + 6 + 93 + 472 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 5388363 + ... + 5404149.
It is an arithmetic number, because the mean of its divisors is an integer number (1727282193).
It is a 1-persistent number, because it is pandigital, but 2⋅85190693472 = 170381386944 is not.
Almost surely, 285190693472 is an apocalyptic number.
85190693472 is a gapful number since it is divisible by the number (82) 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 85190693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124364317896).
85190693472 is an abundant number, since it is smaller than the sum of its proper divisors (163537942320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85190693472 is a wasteful number, since it uses less digits than its factorization.
85190693472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16301 (or 16290 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 85190693472 in words is "eighty-five billion, one hundred ninety million, six hundred ninety-three thousand, four hundred seventy-two".
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