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20518123605649 is a prime number
BaseRepresentation
bin1001010101001001111110…
…11110000000111010010001
32200122111212022102202222221
410222210333132000322101
510142132104120340044
6111345521301101041
74215246142012555
oct452447736007221
980574768382887
1020518123605649
1165a076196171a
1223746720b7781
13b5ab0a14c207
1450d122485865
15258acbb3b484
hex12a93f780e91

20518123605649 has 2 divisors, whose sum is σ = 20518123605650. Its totient is φ = 20518123605648.

The previous prime is 20518123605533. The next prime is 20518123605653. The reversal of 20518123605649 is 94650632181502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18406716993025 + 2111406612624 = 4290305^2 + 1453068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20518123605649 is a prime.

It is a super-2 number, since 2×205181236056492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20518123605596 and 20518123605605.

It is not a weakly prime, because it can be changed into another prime (20518123605349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10259061802824 + 10259061802825.

It is an arithmetic number, because the mean of its divisors is an integer number (10259061802825).

Almost surely, 220518123605649 is an apocalyptic number.

It is an amenable number.

20518123605649 is a deficient number, since it is larger than the sum of its proper divisors (1).

20518123605649 is an equidigital number, since it uses as much as digits as its factorization.

20518123605649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 20518123605649 in words is "twenty trillion, five hundred eighteen billion, one hundred twenty-three million, six hundred five thousand, six hundred forty-nine".