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20506766741 is a prime number
BaseRepresentation
bin10011000110010011…
…000110110110010101
31221221011002200112022
4103012103012312111
5313444213013431
613230511102525
71324114432646
oct230623066625
957834080468
1020506766741
11877359840a
123b83811a45
131c1a68ba06
14dc771d6cd
158004be07b
hex4c64c6d95

20506766741 has 2 divisors, whose sum is σ = 20506766742. Its totient is φ = 20506766740.

The previous prime is 20506766689. The next prime is 20506766807. The reversal of 20506766741 is 14766760502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19356878641 + 1149888100 = 139129^2 + 33910^2 .

It is a cyclic number.

It is not a de Polignac number, because 20506766741 - 210 = 20506765717 is a prime.

It is a super-2 number, since 2×205067667412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20506766692 and 20506766701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20506766641) 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, 10253383370 + 10253383371.

It is an arithmetic number, because the mean of its divisors is an integer number (10253383371).

Almost surely, 220506766741 is an apocalyptic number.

It is an amenable number.

20506766741 is a deficient number, since it is larger than the sum of its proper divisors (1).

20506766741 is an equidigital number, since it uses as much as digits as its factorization.

20506766741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 20506766741 in words is "twenty billion, five hundred six million, seven hundred sixty-six thousand, seven hundred forty-one".