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442705505208 = 233116323396781
BaseRepresentation
bin1100111000100110100…
…11011110101110111000
31120022200220111210220220
412130103103132232320
524223130102131313
6535213123220040
743661440464051
oct6342323365670
91508626453826
10442705505208
1116082879755a
1271971217620
1332993084055
14175d9bd7728
15b7b0ba1823
hex67134debb8

442705505208 has 64 divisors (see below), whose sum is σ = 1108352419200. Its totient is φ = 147356845440.

The previous prime is 442705505197. The next prime is 442705505237. The reversal of 442705505208 is 802505507244.

It is a self number, because there is not a number n which added to its sum of digits gives 442705505208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65282778 + ... + 65289558.

It is an arithmetic number, because the mean of its divisors is an integer number (17318006550).

Almost surely, 2442705505208 is an apocalyptic number.

It is an amenable number.

442705505208 is an abundant number, since it is smaller than the sum of its proper divisors (665646913992).

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

442705505208 is a wasteful number, since it uses less digits than its factorization.

442705505208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 442705505208 in words is "four hundred forty-two billion, seven hundred five million, five hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 1163 2326 2339 3489 4652 4678 6781 6978 7017 9304 9356 13562 13956 14034 18712 20343 27124 27912 28068 40686 54248 56136 81372 162744 2720257 5440514 7886303 8160771 10881028 15772606 15860759 16321542 21762056 23658909 31545212 31721518 32643084 47317818 47582277 63090424 63443036 65286168 94635636 95164554 126886072 189271272 190329108 380658216 18446062717 36892125434 55338188151 73784250868 110676376302 147568501736 221352752604 442705505208