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442523550664 = 23135937175437
BaseRepresentation
bin1100111000010000111…
…01011000001111001000
31120022020020010120012201
412130020131120033020
524222242012110124
6535143103245544
743654101055246
oct6341035301710
91508206116181
10442523550664
1116074500a3a8
12719202a98b4
1332964477640
14175bd991796
15b79ec0e144
hex67087583c8

442523550664 has 32 divisors (see below), whose sum is σ = 895064136120. Its totient is φ = 203897189376.

The previous prime is 442523550647. The next prime is 442523550709. The reversal of 442523550664 is 466055325244.

It can be written as a sum of positive squares in 4 ways, for example, as 179089776100 + 263433774564 = 423190^2 + 513258^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3526047 + ... + 3649390.

Almost surely, 2442523550664 is an apocalyptic number.

It is an amenable number.

442523550664 is an abundant number, since it is smaller than the sum of its proper divisors (452540585456).

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

442523550664 is a wasteful number, since it uses less digits than its factorization.

442523550664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176049 (or 7176045 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 442523550664 in words is "four hundred forty-two billion, five hundred twenty-three million, five hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 593 1186 2372 4744 7709 15418 30836 61672 7175437 14350874 28701748 57403496 93280681 186561362 373122724 746245448 4255034141 8510068282 17020136564 34040273128 55315443833 110630887666 221261775332 442523550664