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238356578081 is a prime number
BaseRepresentation
bin1101110111111100101…
…0001011111100100001
3211210020110221201221102
43131333022023330201
512401123240444311
6301255520404145
723135461325156
oct3357712137441
9753213851842
10238356578081
11920a5090006
123a241176655
1319627a7471b
14b7722d422d
156300a3143b
hex377f28bf21

238356578081 has 2 divisors, whose sum is σ = 238356578082. Its totient is φ = 238356578080.

The previous prime is 238356578039. The next prime is 238356578093. The reversal of 238356578081 is 180875653832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230360641681 + 7995936400 = 479959^2 + 89420^2 .

It is a cyclic number.

It is not a de Polignac number, because 238356578081 - 214 = 238356561697 is a prime.

It is a super-2 number, since 2×2383565780812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (238356578021) 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 as a sum of consecutive naturals, namely, 119178289040 + 119178289041.

It is an arithmetic number, because the mean of its divisors is an integer number (119178289041).

Almost surely, 2238356578081 is an apocalyptic number.

It is an amenable number.

238356578081 is a deficient number, since it is larger than the sum of its proper divisors (1).

238356578081 is an equidigital number, since it uses as much as digits as its factorization.

238356578081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 238356578081 in words is "two hundred thirty-eight billion, three hundred fifty-six million, five hundred seventy-eight thousand, eighty-one".