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454727006344 = 231317257198533
BaseRepresentation
bin1101001110111111101…
…01110111100010001000
31121110201201002100021201
412213133311313202020
524422240103200334
6544522041513544
744565362531242
oct6473765674210
91543651070251
10454727006344
111659375a4266
12741671a28b4
1333b5a806330
141801a611092
15bc6626cc14
hex69dfd77888

454727006344 has 32 divisors (see below), whose sum is σ = 972210458520. Its totient is φ = 197528472576.

The previous prime is 454727006341. The next prime is 454727006351. The reversal of 454727006344 is 443600727454.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210653460900 + 244073545444 = 458970^2 + 494038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 454727006294 and 454727006303.

It is not an unprimeable number, because it can be changed into a prime (454727006341) 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 in 7 ways as a sum of consecutive naturals, for example, 128597499 + ... + 128601034.

Almost surely, 2454727006344 is an apocalyptic number.

It is an amenable number.

454727006344 is an abundant number, since it is smaller than the sum of its proper divisors (517483452176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454727006344 is a wasteful number, since it uses less digits than its factorization.

454727006344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257198569 (or 257198565 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 46.

The spelling of 454727006344 in words is "four hundred fifty-four billion, seven hundred twenty-seven million, six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 257198533 514397066 1028794132 2057588264 3343580929 4372375061 6687161858 8744750122 13374323716 17489500244 26748647432 34979000488 56840875793 113681751586 227363503172 454727006344