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6442552446 = 231197614431
BaseRepresentation
bin1100000000000000…
…11000110001111110
3121121222210120111120
412000000120301332
5101143243134241
62543142131410
7315436535511
oct60000306176
917558716446
106442552446
112806720010
1212b9720b66
137b8988915
144518ccd78
1527a904666
hex180018c7e

6442552446 has 16 divisors (see below), whose sum is σ = 14056478208. Its totient is φ = 1952288600.

The previous prime is 6442552423. The next prime is 6442552453.

6442552446 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 6442552398 and 6442552407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48807150 + ... + 48807281.

It is an arithmetic number, because the mean of its divisors is an integer number (878529888).

Almost surely, 26442552446 is an apocalyptic number.

6442552446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6442552446 is an abundant number, since it is smaller than the sum of its proper divisors (7613925762).

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

6442552446 is a wasteful number, since it uses less digits than its factorization.

6442552446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97614447.

The product of its digits is 921600, while the sum is 42.

The square root of 6442552446 is about 80265.5121830042. The cubic root of 6442552446 is about 1860.7412590644.

The spelling of 6442552446 in words is "six billion, four hundred forty-two million, five hundred fifty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 97614431 195228862 292843293 585686586 1073758741 2147517482 3221276223 6442552446