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442266642064 = 241310009212437
BaseRepresentation
bin1100110111110010010…
…01010110011010010000
31120021120022201020212101
412123321021112122100
524221230230021224
6535101405010144
743644531300502
oct6337111263220
91507508636771
10442266642064
11160622a98145
127186a253954
1332923186510
14175977d7d72
15b7873b3044
hex66f9256690

442266642064 has 40 divisors (see below), whose sum is σ = 922902900920. Its totient is φ = 204101710848.

The previous prime is 442266642049. The next prime is 442266642071. The reversal of 442266642064 is 460246662244.

It can be written as a sum of positive squares in 4 ways, for example, as 165317054464 + 276949587600 = 406592^2 + 526260^2 .

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, 1975654 + ... + 2188090.

It is an arithmetic number, because the mean of its divisors is an integer number (23072572523).

Almost surely, 2442266642064 is an apocalyptic number.

It is an amenable number.

442266642064 is an abundant number, since it is smaller than the sum of its proper divisors (480636258856).

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

442266642064 is a wasteful number, since it uses less digits than its factorization.

442266642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222467 (or 222461 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 46.

The spelling of 442266642064 in words is "four hundred forty-two billion, two hundred sixty-six million, six hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 10009 20018 40036 80072 130117 160144 212437 260234 424874 520468 849748 1040936 1699496 2081872 2761681 3398992 5523362 11046724 22093448 44186896 2126281933 4252563866 8505127732 17010255464 27641665129 34020510928 55283330258 110566660516 221133321032 442266642064