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11005769417053 is a prime number
BaseRepresentation
bin1010000000100111101011…
…1110100000000101011101
31102222010210222211102122111
42200021322332200011131
52420304303432321203
635223551454114021
72214066140340235
oct240117276400535
942863728742574
1011005769417053
11356357aa09384
121298ba9aab911
1361aabb7b83b8
142a09798c0cc5
15141442e4626d
hexa027afa015d

11005769417053 has 2 divisors, whose sum is σ = 11005769417054. Its totient is φ = 11005769417052.

The previous prime is 11005769416997. The next prime is 11005769417077. The reversal of 11005769417053 is 35071496750011.

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., 9171703224324 + 1834066192729 = 3028482^2 + 1354277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11005769417053 is a prime.

It is a super-2 number, since 2×110057694170532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005769416988 and 11005769417006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11005769414053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502884708526 + 5502884708527.

It is an arithmetic number, because the mean of its divisors is an integer number (5502884708527).

Almost surely, 211005769417053 is an apocalyptic number.

It is an amenable number.

11005769417053 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005769417053 is an equidigital number, since it uses as much as digits as its factorization.

11005769417053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 793800, while the sum is 49.

The spelling of 11005769417053 in words is "eleven trillion, five billion, seven hundred sixty-nine million, four hundred seventeen thousand, fifty-three".