| Base | Representation |
|---|---|
| bin | 101000000010111001… |
| … | …0000000000000000000 |
| 3 | 22012222020021200000000 |
| 4 | 1100011302000000000 |
| 5 | 2402110030323300 |
| 6 | 103301200000000 |
| 7 | 6133032552042 |
| oct | 1200562000000 |
| 9 | 265866250000 |
| 10 | 85996339200 |
| 11 | 3351a767512 |
| 12 | 14800000000 |
| 13 | 815651b515 |
| 14 | 423b2b3a92 |
| 15 | 2384b31c00 |
| hex | 1405c80000 |
85996339200 has 540 divisors, whose sum is σ = 319889823825. Its totient is φ = 22932357120.
The previous prime is 85996339193. The next prime is 85996339201. The reversal of 85996339200 is 293369958.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ (4!)3 ⋅ 3! ⋅ 2!.
It can be written as a sum of positive squares in 2 ways, for example, as 84276412416 + 1719926784 = 290304^2 + 41472^2 .
It is a tau number, because it is divible by the number of its divisors (540).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=207360.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (85996339201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17199267838 + ... + 17199267842.
Almost surely, 285996339200 is an apocalyptic number.
85996339200 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 85996339200
85996339200 is an abundant number, since it is smaller than the sum of its proper divisors (233893484625).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85996339200 is an frugal number, since it uses more digits than its factorization.
85996339200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 3149280, while the sum is 54.
The spelling of 85996339200 in words is "eighty-five billion, nine hundred ninety-six million, three hundred thirty-nine thousand, two hundred".
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