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1681469568 = 27321459609
BaseRepresentation
bin110010000111001…
…0011000010000000
311100011222111121200
41210032103002000
511420424011233
6434503421200
756445153432
oct14416230200
94304874550
101681469568
11793166a79
123ab154800
1320a48c00c
1411d460652
159c943313
hex64393080

1681469568 has 48 divisors (see below), whose sum is σ = 4838607150. Its totient is φ = 560489472.

The previous prime is 1681469563. The next prime is 1681469597. The reversal of 1681469568 is 8659641861.

1681469568 is a `hidden beast` number, since 1 + 6 + 8 + 14 + 69 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1425213504 + 256256064 = 37752^2 + 16008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×16814695682 = 5654679816220213248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1681469563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728653 + ... + 730956.

Almost surely, 21681469568 is an apocalyptic number.

1681469568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1681469568 is an abundant number, since it is smaller than the sum of its proper divisors (3157137582).

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

1681469568 is a wasteful number, since it uses less digits than its factorization.

1681469568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459629 (or 1459614 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1681469568 is about 41005.7260391765. The cubic root of 1681469568 is about 1189.1309164167.

The spelling of 1681469568 in words is "one billion, six hundred eighty-one million, four hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1459609 2919218 4378827 5838436 8757654 11676872 13136481 17515308 23353744 26272962 35030616 46707488 52545924 70061232 93414976 105091848 140122464 186829952 210183696 280244928 420367392 560489856 840734784 1681469568