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2684177136001 is a prime number
BaseRepresentation
bin100111000011110101011…
…011001011100110000001
3100111121022220211110211001
4213003311123023212001
5322434143321323001
65413032143252001
7364632261130534
oct47036533134601
910447286743731
102684177136001
11945398020579
123742655aa001
1316616985849a
1493cb4572a1b
1549c4cdce001
hex270f56cb981

2684177136001 has 2 divisors, whose sum is σ = 2684177136002. Its totient is φ = 2684177136000.

The previous prime is 2684177135993. The next prime is 2684177136013. The reversal of 2684177136001 is 1006317714862.

2684177136001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2682044913025 + 2132222976 = 1637695^2 + 46176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2684177136001 - 23 = 2684177135993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2684177136071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1342088568000 + 1342088568001.

It is an arithmetic number, because the mean of its divisors is an integer number (1342088568001).

Almost surely, 22684177136001 is an apocalyptic number.

It is an amenable number.

2684177136001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2684177136001 is an equidigital number, since it uses as much as digits as its factorization.

2684177136001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 2684177136001 in words is "two trillion, six hundred eighty-four billion, one hundred seventy-seven million, one hundred thirty-six thousand, one".