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441012513553649 is a prime number
BaseRepresentation
bin110010001000110010011101…
…0001101100011110011110001
32010211111101101100001221110022
41210101210322031203303301
5430301022111432204044
64201542203554413225
7161615050131135662
oct14421447215436361
92124441340057408
10441012513553649
1111857a3a1801734
124156721a591215
1315c103bc764b5b
147ac919606b369
1535ebb32e763ee
hex191193a363cf1

441012513553649 has 2 divisors, whose sum is σ = 441012513553650. Its totient is φ = 441012513553648.

The previous prime is 441012513553459. The next prime is 441012513553679. The reversal of 441012513553649 is 946355315210144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360579956257249 + 80432557296400 = 18988943^2 + 8968420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441012513553649 is a prime.

It is a super-2 number, since 2×4410125135536492 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441012513553649.

It is not a weakly prime, because it can be changed into another prime (441012513553679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220506256776824 + 220506256776825.

It is an arithmetic number, because the mean of its divisors is an integer number (220506256776825).

Almost surely, 2441012513553649 is an apocalyptic number.

It is an amenable number.

441012513553649 is a deficient number, since it is larger than the sum of its proper divisors (1).

441012513553649 is an equidigital number, since it uses as much as digits as its factorization.

441012513553649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 441012513553649 in words is "four hundred forty-one trillion, twelve billion, five hundred thirteen million, five hundred fifty-three thousand, six hundred forty-nine".