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337081687004081 is a prime number
BaseRepresentation
bin100110010100100101111001…
…0001101101101001110110001
31122012111200202100010002021002
41030221023302031231032301
5323140221243333112311
63152525104513011345
7131000230303415405
oct11451136215551661
91565450670102232
10337081687004081
119844a5a4681048
1231980832b53b55
1311611888950656
145d34baac55105
1528e840548d93b
hex13292f236d3b1

337081687004081 has 2 divisors, whose sum is σ = 337081687004082. Its totient is φ = 337081687004080.

The previous prime is 337081687004039. The next prime is 337081687004141. The reversal of 337081687004081 is 180400786180733.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200084985619600 + 136996701384481 = 14145140^2 + 11704559^2 .

It is a cyclic number.

It is not a de Polignac number, because 337081687004081 - 210 = 337081687003057 is a prime.

It is a super-2 number, since 2×3370816870040812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (337081687000081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168540843502040 + 168540843502041.

It is an arithmetic number, because the mean of its divisors is an integer number (168540843502041).

Almost surely, 2337081687004081 is an apocalyptic number.

It is an amenable number.

337081687004081 is a deficient number, since it is larger than the sum of its proper divisors (1).

337081687004081 is an equidigital number, since it uses as much as digits as its factorization.

337081687004081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 337081687004081 in words is "three hundred thirty-seven trillion, eighty-one billion, six hundred eighty-seven million, four thousand, eighty-one".