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42506885840 = 2451031351521
BaseRepresentation
bin100111100101100110…
…111001101011010000
311001201101012112101012
4213211212321223100
51144023230321330
631305530030052
73033234365606
oct474546715320
9131641175335
1042506885840
1117033035521
1282a3578328
134015552c73
1420b34d1876
15118bb22c95
hex9e59b9ad0

42506885840 has 40 divisors (see below), whose sum is σ = 98840010888. Its totient is φ = 17000775680.

The previous prime is 42506885791. The next prime is 42506885849. The reversal of 42506885840 is 4858860524.

It can be written as a sum of positive squares in 4 ways, for example, as 534349456 + 41972536384 = 23116^2 + 204872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506885849) by changing a digit.

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, 799280 + ... + 850800.

Almost surely, 242506885840 is an apocalyptic number.

42506885840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42506885840 is an abundant number, since it is smaller than the sum of its proper divisors (56333125048).

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

42506885840 is a wasteful number, since it uses less digits than its factorization.

42506885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61847 (or 61841 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 50.

The spelling of 42506885840 in words is "forty-two billion, five hundred six million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10313 20626 41252 51521 51565 82504 103042 103130 165008 206084 206260 257605 412168 412520 515210 824336 825040 1030420 2060840 4121680 531336073 1062672146 2125344292 2656680365 4250688584 5313360730 8501377168 10626721460 21253442920 42506885840