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1685226816 = 263372131531
BaseRepresentation
bin110010001110010…
…1000010101000000
311100110001101121000
41210130220111000
511422404224231
6435120132000
756522122500
oct14434502500
94313041530
101685226816
117952a2939
123b0467000
1320b1a6240
1411db5ba00
159ce366e6
hex64728540

1685226816 has 336 divisors, whose sum is σ = 6210482880. Its totient is φ = 444165120.

The previous prime is 1685226791. The next prime is 1685226839. The reversal of 1685226816 is 6186225861.

1685226816 is a `hidden beast` number, since 1 + 68 + 522 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1099971 + ... + 1101501.

It is an arithmetic number, because the mean of its divisors is an integer number (18483580).

Almost surely, 21685226816 is an apocalyptic number.

1685226816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105241440).

1685226816 is an abundant number, since it is smaller than the sum of its proper divisors (4525256064).

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

1685226816 is a wasteful number, since it uses less digits than its factorization.

1685226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1556 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1685226816 is about 41051.5141742665. The cubic root of 1685226816 is about 1190.0159628770.

The spelling of 1685226816 in words is "one billion, six hundred eighty-five million, two hundred twenty-six thousand, eight hundred sixteen".