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6424405585 = 51398837009
BaseRepresentation
bin1011111101110110…
…01010011001010001
3121120201122121200121
411332323022121101
5101124121434320
62541253150241
7315126355303
oct57673123121
917521577617
106424405585
1127a7456004
1212b362b381
137b4ca3b30
1444d327973
1527901c8aa
hex17eeca651

6424405585 has 8 divisors (see below), whose sum is σ = 8302308840. Its totient is φ = 4744176384.

The previous prime is 6424405577. The next prime is 6424405601. The reversal of 6424405585 is 5855044246.

It can be written as a sum of positive squares in 4 ways, for example, as 977375169 + 5447030416 = 31263^2 + 73804^2 .

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 6424405585 - 23 = 6424405577 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49418440 + ... + 49418569.

It is an arithmetic number, because the mean of its divisors is an integer number (1037788605).

Almost surely, 26424405585 is an apocalyptic number.

6424405585 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6424405585 is a deficient number, since it is larger than the sum of its proper divisors (1877903255).

6424405585 is a wasteful number, since it uses less digits than its factorization.

6424405585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98837027.

The product of its (nonzero) digits is 768000, while the sum is 43.

The square root of 6424405585 is about 80152.3897647475. The cubic root of 6424405585 is about 1858.9925543049.

It can be divided in two parts, 642440 and 5585, that added together give a square (648025 = 8052).

The spelling of 6424405585 in words is "six billion, four hundred twenty-four million, four hundred five thousand, five hundred eighty-five".

Divisors: 1 5 13 65 98837009 494185045 1284881117 6424405585