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6345857961 = 32705095329
BaseRepresentation
bin1011110100011111…
…00001101110101001
3121101020211222121100
411322033201232221
5100444014423321
62525405432013
7313153621422
oct57217415651
917336758540
106345857961
112767087013
12129126b609
137a1931851
14442b1c649
152721a4326
hex17a3e1ba9

6345857961 has 6 divisors (see below), whose sum is σ = 9166239290. Its totient is φ = 4230571968.

The previous prime is 6345857927. The next prime is 6345857983. The reversal of 6345857961 is 1697585436.

6345857961 is a `hidden beast` number, since 6 + 3 + 4 + 5 + 8 + 579 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3281571225 + 3064286736 = 57285^2 + 55356^2 .

It is not a de Polignac number, because 6345857961 - 26 = 6345857897 is a prime.

It is a super-2 number, since 2×63458579612 = 80539826522374155042, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6345857898 and 6345857907.

It is not an unprimeable number, because it can be changed into a prime (6345857561) 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, 352547656 + ... + 352547673.

Almost surely, 26345857961 is an apocalyptic number.

It is an amenable number.

6345857961 is a deficient number, since it is larger than the sum of its proper divisors (2820381329).

6345857961 is a wasteful number, since it uses less digits than its factorization.

6345857961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705095335 (or 705095332 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 6345857961 is about 79660.8935488424. The cubic root of 6345857961 is about 1851.3851774497.

The spelling of 6345857961 in words is "six billion, three hundred forty-five million, eight hundred fifty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 705095329 2115285987 6345857961