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6823429128 = 2332175574697
BaseRepresentation
bin1100101101011010…
…10100010000001000
3122121112111010002100
412112231110100020
5102433244213003
63045025433400
7331043122245
oct62655242010
918545433070
106823429128
11299171432a
1213a519b860
13849862b39
1448a3165cc
1529e08bba3
hex196b54408

6823429128 has 48 divisors (see below), whose sum is σ = 19567189980. Its totient is φ = 2140683264.

The previous prime is 6823429099. The next prime is 6823429139. The reversal of 6823429128 is 8219243286.

It can be written as a sum of positive squares in 2 ways, for example, as 6823090404 + 338724 = 82602^2 + 582^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 2786125 + ... + 2788572.

Almost surely, 26823429128 is an apocalyptic number.

6823429128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6823429128 is an abundant number, since it is smaller than the sum of its proper divisors (12743760852).

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

6823429128 is a wasteful number, since it uses less digits than its factorization.

6823429128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574726 (or 5574719 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6823429128 is about 82604.0503123182. The cubic root of 6823429128 is about 1896.7098300899.

The spelling of 6823429128 in words is "six billion, eight hundred twenty-three million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 5574697 11149394 16724091 22298788 33448182 44597576 50172273 66896364 94769849 100344546 133792728 189539698 200689092 284309547 379079396 401378184 568619094 758158792 852928641 1137238188 1705857282 2274476376 3411714564 6823429128