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6828527745 = 3351312730637
BaseRepresentation
bin1100101110000001…
…10001000010000001
3122121220002011002000
412113000301002001
5102441100341440
63045331014213
7331134346104
oct62700610201
918556064060
106828527745
112994586a66
1213a6a3a369
1384a929780
1448ac8273b
1529e747730
hex197031081

6828527745 has 64 divisors (see below), whose sum is σ = 13176791040. Its totient is φ = 3335157504.

The previous prime is 6828527729. The next prime is 6828527767. The reversal of 6828527745 is 5477258286.

It is not a de Polignac number, because 6828527745 - 24 = 6828527729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6828527691 and 6828527700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207567 + ... + 238203.

It is an arithmetic number, because the mean of its divisors is an integer number (205887360).

Almost surely, 26828527745 is an apocalyptic number.

6828527745 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6828527745 is a deficient number, since it is larger than the sum of its proper divisors (6348263295).

6828527745 is a wasteful number, since it uses less digits than its factorization.

6828527745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30791 (or 30785 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 6828527745 is about 82634.9063350350. The cubic root of 6828527745 is about 1897.1821336344.

The spelling of 6828527745 in words is "six billion, eight hundred twenty-eight million, five hundred twenty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 127 135 195 351 381 585 635 1143 1651 1755 1905 3429 4953 5715 8255 14859 17145 24765 30637 44577 74295 91911 153185 222885 275733 398281 459555 827199 1194843 1378665 1991405 3584529 3890899 4135995 5974215 10753587 11672697 17922645 19454495 35018091 50581687 53767935 58363485 105054273 151745061 175090455 252908435 455235183 525271365 758725305 1365705549 2276175915 6828527745