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441749107244097 = 32369713276503689
BaseRepresentation
bin110010001110001001011101…
…0100111011111110001000001
32010221002210122211001102102200
41210130102322213133301001
5430400104132423302342
64203304423245503413
7162022214454166452
oct14434227247376101
92127083584042380
10441749107244097
11118833820733604
1241665b2a271b69
1315c649ba35c663
147b12ab13ad129
153610d9496394c
hex191c4ba9dfc41

441749107244097 has 12 divisors (see below), whose sum is σ = 638254638393060. Its totient is φ = 294419745785088.

The previous prime is 441749107244077. The next prime is 441749107244117. The reversal of 441749107244097 is 790442701947144.

441749107244097 is a `hidden beast` number, since 4 + 4 + 1 + 74 + 91 + 0 + 72 + 4 + 409 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (441749107244077) and next prime (441749107244117).

It can be written as a sum of positive squares in 2 ways, for example, as 73043670740481 + 368705436503616 = 8546559^2 + 19201704^2 .

It is not a de Polignac number, because 441749107244097 - 26 = 441749107244033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441749107244077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6638218572 + ... + 6638285117.

It is an arithmetic number, because the mean of its divisors is an integer number (53187886532755).

Almost surely, 2441749107244097 is an apocalyptic number.

It is an amenable number.

441749107244097 is a deficient number, since it is larger than the sum of its proper divisors (196505531148963).

441749107244097 is a wasteful number, since it uses less digits than its factorization.

441749107244097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276507392 (or 13276507389 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 441749107244097 in words is "four hundred forty-one trillion, seven hundred forty-nine billion, one hundred seven million, two hundred forty-four thousand, ninety-seven".

Divisors: 1 3 9 3697 11091 33273 13276503689 39829511067 119488533201 49083234138233 147249702414699 441749107244097