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20455104641 is a prime number
BaseRepresentation
bin10011000011001110…
…000010000010000001
31221210112212222110012
4103003032002002001
5313343001322031
613221423514305
71322616343406
oct230316020201
957715788405
1020455104641
118747411964
123b6a458995
131c0ca70c1a
14dc09122ad
157eabb6b2b
hex4c3382081

20455104641 has 2 divisors, whose sum is σ = 20455104642. Its totient is φ = 20455104640.

The previous prime is 20455104617. The next prime is 20455104643. The reversal of 20455104641 is 14640155402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16863619600 + 3591485041 = 129860^2 + 59929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20455104641 is a prime.

It is a super-2 number, since 2×204551046412 (a number of 21 digits) contains 22 as substring.

Together with 20455104643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20455104598 and 20455104607.

It is not a weakly prime, because it can be changed into another prime (20455104643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10227552320 + 10227552321.

It is an arithmetic number, because the mean of its divisors is an integer number (10227552321).

Almost surely, 220455104641 is an apocalyptic number.

It is an amenable number.

20455104641 is a deficient number, since it is larger than the sum of its proper divisors (1).

20455104641 is an equidigital number, since it uses as much as digits as its factorization.

20455104641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 20455104641 in words is "twenty billion, four hundred fifty-five million, one hundred four thousand, six hundred forty-one".