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128304146853 = 343973989929
BaseRepresentation
bin111011101111110000…
…1011110100110100101
3110021011201212222110000
41313133201132212211
54100231330144403
6134535255051513
712161332153041
oct1673741364645
9407151788400
10128304146853
114a460389603
1220a48970b99
13c13974a92c
1462d2183021
15350e02d7a3
hex1ddf85e9a5

128304146853 has 20 divisors (see below), whose sum is σ = 192147048940. Its totient is φ = 85320620352.

The previous prime is 128304146807. The next prime is 128304146879. The reversal of 128304146853 is 358641403821.

128304146853 is a `hidden beast` number, since 128 + 3 + 0 + 414 + 68 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64263771009 + 64040375844 = 253503^2 + 253062^2 .

It is not a de Polignac number, because 128304146853 - 213 = 128304138661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128304146799 and 128304146808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128304148853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1962808 + ... + 2027121.

It is an arithmetic number, because the mean of its divisors is an integer number (9607352447).

Almost surely, 2128304146853 is an apocalyptic number.

It is an amenable number.

128304146853 is a deficient number, since it is larger than the sum of its proper divisors (63842902087).

128304146853 is an equidigital number, since it uses as much as digits as its factorization.

128304146853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990338 (or 3990329 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 128304146853 in words is "one hundred twenty-eight billion, three hundred four million, one hundred forty-six thousand, eight hundred fifty-three".

Divisors: 1 3 9 27 81 397 1191 3573 10719 32157 3989929 11969787 35909361 107728083 323184249 1584001813 4752005439 14256016317 42768048951 128304146853