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6402401289 = 324197178873
BaseRepresentation
bin1011111011001110…
…01110010000001001
3121112012020200110200
411331213032100021
5101103003320124
62535145402413
7314441340654
oct57547162011
917465220420
106402401289
112795a96939
1212a8199409
137b056b33b
1444a43a89b
15277122bc9
hex17d9ce409

6402401289 has 24 divisors (see below), whose sum is σ = 9571189992. Its totient is φ = 4121210880.

The previous prime is 6402401249. The next prime is 6402401293. The reversal of 6402401289 is 9821042046.

6402401289 is a `hidden beast` number, since 640 + 2 + 4 + 0 + 1 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266342400 + 6136058889 = 16320^2 + 78333^2 .

It is not a de Polignac number, because 6402401289 - 29 = 6402400777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6402401249) 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 23 ways as a sum of consecutive naturals, for example, 53644 + ... + 125229.

It is an arithmetic number, because the mean of its divisors is an integer number (398799583).

Almost surely, 26402401289 is an apocalyptic number.

It is an amenable number.

6402401289 is a deficient number, since it is larger than the sum of its proper divisors (3168788703).

6402401289 is a wasteful number, since it uses less digits than its factorization.

6402401289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179017 (or 179014 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6402401289 is about 80015.0066487531. The cubic root of 6402401289 is about 1856.8677084977.

The spelling of 6402401289 in words is "six billion, four hundred two million, four hundred one thousand, two hundred eighty-nine".

Divisors: 1 3 9 41 97 123 291 369 873 3977 11931 35793 178873 536619 1609857 7333793 17350681 22001379 52052043 66004137 156156129 711377921 2134133763 6402401289