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42072800069 = 31262576997
BaseRepresentation
bin100111001011101110…
…111111101101000101
311000121010101200122102
4213023232333231011
51142131114100234
631154502041445
73016413620456
oct471356775505
9130533350572
1042072800069
111692aaa9453
1281a2119285
133c76638a91
1420719b712d
151163979c7e
hex9cbbbfb45

42072800069 has 12 divisors (see below), whose sum is σ = 43486929612. Its totient is φ = 40703287680.

The previous prime is 42072800053. The next prime is 42072800087. The reversal of 42072800069 is 96000827024.

It can be written as a sum of positive squares in 2 ways, for example, as 31113432100 + 10959367969 = 176390^2 + 104687^2 .

It is not a de Polignac number, because 42072800069 - 24 = 42072800053 is a prime.

It is a super-2 number, since 2×420728000692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072800089) 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 11 ways as a sum of consecutive naturals, for example, 6009479 + ... + 6016475.

It is an arithmetic number, because the mean of its divisors is an integer number (3623910801).

Almost surely, 242072800069 is an apocalyptic number.

It is an amenable number.

42072800069 is a deficient number, since it is larger than the sum of its proper divisors (1414129543).

42072800069 is an equidigital number, since it uses as much as digits as its factorization.

42072800069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13316 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 42072800069 in words is "forty-two billion, seventy-two million, eight hundred thousand, sixty-nine".

Divisors: 1 31 961 6257 6997 193967 216907 6012977 6724117 43780229 1357187099 42072800069