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1890435827201 is a prime number
BaseRepresentation
bin11011100000100110110…
…000011000011000000001
320200201112201112012010012
4123200212300120120001
5221433103032432301
64004242040314305
7253402522254605
oct33404660303001
96621481465105
101890435827201
11669802817149
12266467172995
131093624411ac
14676d7519505
15342942c3ebb
hex1b826c18601

1890435827201 has 2 divisors, whose sum is σ = 1890435827202. Its totient is φ = 1890435827200.

The previous prime is 1890435827167. The next prime is 1890435827237. The reversal of 1890435827201 is 1027285340981.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1145927430400 + 744508396801 = 1070480^2 + 862849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1890435827201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1890435827201.

It is not a weakly prime, because it can be changed into another prime (1890435827701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 945217913600 + 945217913601.

It is an arithmetic number, because the mean of its divisors is an integer number (945217913601).

Almost surely, 21890435827201 is an apocalyptic number.

It is an amenable number.

1890435827201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1890435827201 is an equidigital number, since it uses as much as digits as its factorization.

1890435827201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 1890435827201 in words is "one trillion, eight hundred ninety billion, four hundred thirty-five million, eight hundred twenty-seven thousand, two hundred one".