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42021056000075 = 5225735671183349
BaseRepresentation
bin10011000110111110010100…
…00111011011000001001011
312111210011200122100111022012
421203133022013123001023
521001433110314000300
6225212112344250135
711564630640434105
oct1143371207330113
9174704618314265
1042021056000075
1112431036697409
124867b6677094b
131a5a751220079
14a53b895b8575
154cd0e6509435
hex2637ca1db04b

42021056000075 has 24 divisors (see below), whose sum is σ = 52310608677600. Its totient is φ = 33484918579200.

The previous prime is 42021056000071. The next prime is 42021056000087. The reversal of 42021056000075 is 57000065012024.

42021056000075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42021056000075 - 22 = 42021056000071 is a prime.

It is a super-2 number, since 2×420210560000752 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42021056000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229094501 + ... + 229277849.

It is an arithmetic number, because the mean of its divisors is an integer number (2179608694900).

Almost surely, 242021056000075 is an apocalyptic number.

42021056000075 is a deficient number, since it is larger than the sum of its proper divisors (10289552677525).

42021056000075 is a wasteful number, since it uses less digits than its factorization.

42021056000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219287 (or 219282 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 42021056000075 in words is "forty-two trillion, twenty-one billion, fifty-six million, seventy-five", and thus it is an aban number and an uban number.

Divisors: 1 5 25 257 1285 6425 35671 178355 183349 891775 916745 4583725 9167447 45837235 47120693 229186175 235603465 1178017325 6540242179 32701210895 163506054475 1680842240003 8404211200015 42021056000075