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6400937461 = 17616172553
BaseRepresentation
bin1011111011000011…
…01000110111110101
3121112002111022110211
411331201220313311
5101102114444321
62535054145421
7314423033152
oct57541506765
917462438424
106400937461
112795187066
1212a77b2271
137b0177c79
1444a179229
15276e340e1
hex17d868df5

6400937461 has 8 divisors (see below), whose sum is σ = 6888570264. Its totient is φ = 5925649920.

The previous prime is 6400937441. The next prime is 6400937483. The reversal of 6400937461 is 1647390046.

It can be written as a sum of positive squares in 4 ways, for example, as 1201662225 + 5199275236 = 34665^2 + 72106^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6400937461 - 25 = 6400937429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400937401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3085240 + ... + 3087313.

It is an arithmetic number, because the mean of its divisors is an integer number (861071283).

Almost surely, 26400937461 is an apocalyptic number.

6400937461 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6400937461 is a deficient number, since it is larger than the sum of its proper divisors (487632803).

6400937461 is a wasteful number, since it uses less digits than its factorization.

6400937461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172631.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 6400937461 is about 80005.8589167068. The cubic root of 6400937461 is about 1856.7261812799.

The spelling of 6400937461 in words is "six billion, four hundred million, nine hundred thirty-seven thousand, four hundred sixty-one".

Divisors: 1 17 61 1037 6172553 104933401 376525733 6400937461