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20953865529797 is a prime number
BaseRepresentation
bin1001100001110101100111…
…01101100010100111000101
32202012011120220202000112012
410300322303231202213011
510221302004033423142
6112322023430504005
74261603215162224
oct460726355424705
982164526660465
1020953865529797
116749536909702
122424bbb205005
13b8cc3060bba5
1452625b4c2cbb
152650d12b9882
hex130eb3b629c5

20953865529797 has 2 divisors, whose sum is σ = 20953865529798. Its totient is φ = 20953865529796.

The previous prime is 20953865529673. The next prime is 20953865529799. The reversal of 20953865529797 is 79792556835902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16416969789796 + 4536895740001 = 4051786^2 + 2129999^2 .

It is a cyclic number.

It is not a de Polignac number, because 20953865529797 - 212 = 20953865525701 is a prime.

It is a super-2 number, since 2×209538655297972 (a number of 27 digits) contains 22 as substring.

Together with 20953865529799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20953865529799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10476932764898 + 10476932764899.

It is an arithmetic number, because the mean of its divisors is an integer number (10476932764899).

Almost surely, 220953865529797 is an apocalyptic number.

It is an amenable number.

20953865529797 is a deficient number, since it is larger than the sum of its proper divisors (1).

20953865529797 is an equidigital number, since it uses as much as digits as its factorization.

20953865529797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2571912000, while the sum is 77.

The spelling of 20953865529797 in words is "twenty trillion, nine hundred fifty-three billion, eight hundred sixty-five million, five hundred twenty-nine thousand, seven hundred ninety-seven".