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81091465896401 is a prime number
BaseRepresentation
bin10010011100000010010100…
…000001001110000111010001
3101122010021020200111102001122
4102130002110001032013101
541112100310232141101
6444244523302412025
723036444056141352
oct2234022401160721
9348107220442048
1081091465896401
11239247744a2854
12911809ba31015
133632b7a86153c
141604bc2881d29
1595959608b51b
hex49c09404e1d1

81091465896401 has 2 divisors, whose sum is σ = 81091465896402. Its totient is φ = 81091465896400.

The previous prime is 81091465896361. The next prime is 81091465896407. The reversal of 81091465896401 is 10469856419018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72989700646801 + 8101765249600 = 8543401^2 + 2846360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-81091465896401 is a prime.

It is not a weakly prime, because it can be changed into another prime (81091465896407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40545732948200 + 40545732948201.

It is an arithmetic number, because the mean of its divisors is an integer number (40545732948201).

Almost surely, 281091465896401 is an apocalyptic number.

It is an amenable number.

81091465896401 is a deficient number, since it is larger than the sum of its proper divisors (1).

81091465896401 is an equidigital number, since it uses as much as digits as its factorization.

81091465896401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 81091465896401 in words is "eighty-one trillion, ninety-one billion, four hundred sixty-five million, eight hundred ninety-six thousand, four hundred one".