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689824930249 = 7213291272
BaseRepresentation
bin10100000100111001100…
…01010001100111001001
32102221120002022022001201
422002130301101213021
542300230140231444
61244522354144201
7100560335106100
oct12023461214711
92387502268051
10689824930249
1124660a20a144
12b1838b82061
1350086413a00
142555dc0d037
1512e25b66dd4
hexa09cc519c9

689824930249 has 27 divisors (see below), whose sum is σ = 869019721767. Its totient is φ = 545735749104.

The previous prime is 689824930219. The next prime is 689824930261. The reversal of 689824930249 is 942039428986.

The square root of 689824930249 is 830557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102045108025 + 587779822224 = 319445^2 + 766668^2 .

It is not a de Polignac number, because 689824930249 - 239 = 140069116361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (689824930219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75576124 + ... + 75585250.

It is an arithmetic number, because the mean of its divisors is an integer number (32185915621).

Almost surely, 2689824930249 is an apocalyptic number.

689824930249 is the 830557-th square number.

689824930249 is the 415279-th centered octagonal number.

It is an amenable number.

689824930249 is a deficient number, since it is larger than the sum of its proper divisors (179194791518).

689824930249 is an frugal number, since it uses more digits than its factorization.

689824930249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

Multiplying 689824930249 by its sum of digits (64), we get a square (44148795535936 = 66444562).

The spelling of 689824930249 in words is "six hundred eighty-nine billion, eight hundred twenty-four million, nine hundred thirty thousand, two hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 8281 9127 63889 118651 447223 830557 1542463 5813899 10797241 75580687 83302129 583114903 1082927677 4081804321 7580493739 14078059801 53063456173 98546418607 689824930249