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285229981472 = 2519249692
BaseRepresentation
bin1000010011010010000…
…10000001111100100000
31000021020011112100022212
410021221002001330200
514133122333401342
6335011032221252
726415156561002
oct4115102017440
91007204470285
10285229981472
11aaa68985817
1247342b3a828
1320b87b36587
14db3b6a6372
157645b77182
hex4269081f20

285229981472 has 54 divisors (see below), whose sum is σ = 592776431793. Its totient is φ = 135081748224.

The previous prime is 285229981459. The next prime is 285229981507. The reversal of 285229981472 is 274189922582.

It is a happy number.

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 can be written as a sum of positive squares in 2 ways, for example, as 257044944016 + 28185037456 = 506996^2 + 167884^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=377644.

It is a super-2 number, since 2×2852299814722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57399404 + ... + 57404372.

Almost surely, 2285229981472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285229981472

285229981472 is an abundant number, since it is smaller than the sum of its proper divisors (307546450321).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285229981472 is an frugal number, since it uses more digits than its factorization.

285229981472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 4990 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The spelling of 285229981472 in words is "two hundred eighty-five billion, two hundred twenty-nine million, nine hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 4969 5776 9938 11552 19876 39752 79504 94411 159008 188822 377644 755288 1510576 1793809 3021152 3587618 7175236 14350472 24690961 28700944 49381922 57401888 98763844 197527688 395055376 469128259 790110752 938256518 1876513036 3753026072 7506052144 8913436921 15012104288 17826873842 35653747684 71307495368 142614990736 285229981472