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1682594016 = 25317527021
BaseRepresentation
bin110010001001010…
…0101100011100000
311100021002122001220
41210102211203200
511421221002031
6434543455040
756460545625
oct14422454340
94307078056
101682594016
11793864874
123ab5b7480
1320a793a7c
1411d67434c
159cab6596
hex644a58e0

1682594016 has 24 divisors (see below), whose sum is σ = 4416809544. Its totient is φ = 560864640.

The previous prime is 1682593993. The next prime is 1682594033. The reversal of 1682594016 is 6104952861.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×16825940162 = 5662245245358016512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8763415 + ... + 8763606.

It is an arithmetic number, because the mean of its divisors is an integer number (184033731).

Almost surely, 21682594016 is an apocalyptic number.

1682594016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1682594016 is an abundant number, since it is smaller than the sum of its proper divisors (2734215528).

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

1682594016 is a wasteful number, since it uses less digits than its factorization.

1682594016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527034 (or 17527026 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1682594016 is about 41019.4346133635. The cubic root of 1682594016 is about 1189.3959262550.

The spelling of 1682594016 in words is "one billion, six hundred eighty-two million, five hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 17527021 35054042 52581063 70108084 105162126 140216168 210324252 280432336 420648504 560864672 841297008 1682594016