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6406977409 = 72130754641
BaseRepresentation
bin1011111011110001…
…01011011110000001
3121112111212011201121
411331320223132001
5101110141234114
62535431432241
7314525260300
oct57570533601
917474764647
106406977409
112798631a58
1212a9825681
137b14b11c1
1444acac437
15277728a24
hex17de2b781

6406977409 has 6 divisors (see below), whose sum is σ = 7453014594. Its totient is φ = 5491694880.

The previous prime is 6406977389. The next prime is 6406977413. The reversal of 6406977409 is 9047796046.

It can be written as a sum of positive squares in only one way, i.e., 3523609600 + 2883367809 = 59360^2 + 53697^2 .

It is not a de Polignac number, because 6406977409 - 25 = 6406977377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6406977469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65377272 + ... + 65377369.

It is an arithmetic number, because the mean of its divisors is an integer number (1242169099).

Almost surely, 26406977409 is an apocalyptic number.

It is an amenable number.

6406977409 is a deficient number, since it is larger than the sum of its proper divisors (1046037185).

6406977409 is a wasteful number, since it uses less digits than its factorization.

6406977409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130754655 (or 130754648 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 6406977409 is about 80043.5969269248. The cubic root of 6406977409 is about 1857.3100022251.

The spelling of 6406977409 in words is "six billion, four hundred six million, nine hundred seventy-seven thousand, four hundred nine".

Divisors: 1 7 49 130754641 915282487 6406977409