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852885831421809 = 32577943317410961
BaseRepresentation
bin1100000111101100011111010…
…1000001000000111101110001
311010211211002102000122002020200
43001323013311001000331301
51343242140140320444214
612221534201510025413
7344434652660551443
oct30173076501007561
94124732360562220
10852885831421809
112278349391714a9
127b7a6ba3348269
132a7b8a33cc7c53
1411087c746d6493
1568907b7593d09
hex307b1f5040f71

852885831421809 has 24 divisors (see below), whose sum is σ = 1234212186527112. Its totient is φ = 567544923832320.

The previous prime is 852885831421781. The next prime is 852885831421837. The reversal of 852885831421809 is 908124138588258.

852885831421809 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 8 + 583 + 14 + 21 + 8 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (852885831421781) and next prime (852885831421837).

It can be written as a sum of positive squares in 4 ways, for example, as 163489390972209 + 689396440449600 = 12786297^2 + 26256360^2 .

It is not a de Polignac number, because 852885831421809 - 27 = 852885831421681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (852885831421879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40280089 + ... + 57691049.

It is an arithmetic number, because the mean of its divisors is an integer number (51425507771963).

Almost surely, 2852885831421809 is an apocalyptic number.

It is an amenable number.

852885831421809 is a deficient number, since it is larger than the sum of its proper divisors (381326355105303).

852885831421809 is a wasteful number, since it uses less digits than its factorization.

852885831421809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17420977 (or 17420974 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 72.

The spelling of 852885831421809 in words is "eight hundred fifty-two trillion, eight hundred eighty-five billion, eight hundred thirty-one million, four hundred twenty-one thousand, eight hundred nine".

Divisors: 1 3 9 577 1731 5193 9433 28299 84897 5442841 16328523 17410961 48985569 52232883 156698649 10046124497 30138373491 90415120473 164237595113 492712785339 1478138356017 94765092380201 284295277140603 852885831421809