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34828595712 = 29327558289
BaseRepresentation
bin100000011011111100…
…100011001000000000
310022220021010222110100
4200123330203020000
51032312110030322
624000001402400
72342041115241
oct403374431000
9108807128410
1034828595712
111385291a4a9
126900039400
13339086c421
14198584ccc8
15d8c9c3dac
hex81bf23200

34828595712 has 60 divisors (see below), whose sum is σ = 100517698710. Its totient is φ = 11609530368.

The previous prime is 34828595707. The next prime is 34828595717. The reversal of 34828595712 is 21759582843.

34828595712 is a `hidden beast` number, since 3 + 48 + 2 + 8 + 595 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34828595707) and next prime (34828595717).

It can be written as a sum of positive squares in only one way, i.e., 27471073536 + 7357522176 = 165744^2 + 85776^2 .

It is not an unprimeable number, because it can be changed into a prime (34828595717) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3774537 + ... + 3783752.

Almost surely, 234828595712 is an apocalyptic number.

34828595712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34828595712 is an abundant number, since it is smaller than the sum of its proper divisors (65689102998).

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

34828595712 is an equidigital number, since it uses as much as digits as its factorization.

34828595712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558313 (or 7558294 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 34828595712 in words is "thirty-four billion, eight hundred twenty-eight million, five hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 7558289 15116578 22674867 30233156 45349734 60466312 68024601 90699468 120932624 136049202 181398936 241865248 272098404 362797872 483730496 544196808 725595744 967460992 1088393616 1451191488 1934921984 2176787232 2902382976 3869843968 4353574464 5804765952 8707148928 11609531904 17414297856 34828595712