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6345867690 = 2325160144041
BaseRepresentation
bin1011110100011111…
…00100000110101010
3121101020212110221200
411322033210012222
5100444020231230
62525405545030
7313153661661
oct57217440652
917336773850
106345867690
112767093358
121291275176
137a19360c6
14442b21dd8
152721a7160
hex17a3e41aa

6345867690 has 48 divisors (see below), whose sum is σ = 16509936456. Its totient is φ = 1691136000.

The previous prime is 6345867683. The next prime is 6345867691. The reversal of 6345867690 is 967685436.

It can be written as a sum of positive squares in 4 ways, for example, as 6315957729 + 29909961 = 79473^2 + 5469^2 .

It is a super-2 number, since 2×63458676902 = 80540073477971872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6345867691) 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, 122070 + ... + 166110.

Almost surely, 26345867690 is an apocalyptic number.

6345867690 is an abundant number, since it is smaller than the sum of its proper divisors (10164068766).

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

6345867690 is a wasteful number, since it uses less digits than its factorization.

6345867690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45655 (or 45652 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6345867690 is about 79660.9546139136. The cubic root of 6345867690 is about 1851.3861235849.

The spelling of 6345867690 in words is "six billion, three hundred forty-five million, eight hundred sixty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1601 3202 4803 8005 9606 14409 16010 24015 28818 44041 48030 72045 88082 132123 144090 220205 264246 396369 440410 660615 792738 1321230 1981845 3963690 70509641 141019282 211528923 352548205 423057846 634586769 705096410 1057644615 1269173538 2115289230 3172933845 6345867690