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1685168352 = 25327835897
BaseRepresentation
bin110010001110001…
…1010000011100000
311100102221102101200
41210130122003200
511422400341402
6435115001200
756521460160
oct14434320340
94312842350
101685168352
11795262a1a
123b0439200
1320b18574a
1411db445a0
159ce2421c
hex6471a0e0

1685168352 has 72 divisors (see below), whose sum is σ = 5476803696. Its totient is φ = 481476096.

The previous prime is 1685168351. The next prime is 1685168357. The reversal of 1685168352 is 2538615861.

1685168352 is a `hidden beast` number, since 1 + 6 + 8 + 516 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1685168298 and 1685168307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685168351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415933 + ... + 419964.

It is an arithmetic number, because the mean of its divisors is an integer number (76066718).

Almost surely, 21685168352 is an apocalyptic number.

1685168352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1685168352 is an abundant number, since it is smaller than the sum of its proper divisors (3791635344).

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

1685168352 is a wasteful number, since it uses less digits than its factorization.

1685168352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835920 (or 835909 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1685168352 is about 41050.8020871700. The cubic root of 1685168352 is about 1190.0022013471.

The spelling of 1685168352 in words is "one billion, six hundred eighty-five million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 835897 1671794 2507691 3343588 5015382 5851279 6687176 7523073 10030764 11702558 13374352 15046146 17553837 20061528 23405116 26748704 30092292 35107674 40123056 46810232 52661511 60184584 70215348 80246112 93620464 105323022 120369168 140430696 187240928 210646044 240738336 280861392 421292088 561722784 842584176 1685168352