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1118218465 = 572131093221
BaseRepresentation
bin100001010100110…
…1010100011100001
32212221010101100201
41002221222203201
54242230442330
6302543145201
736465462100
oct10251524341
92787111321
101118218465
115242290a1
122725a5201
1314a88c240
14a8722037
1568283eca
hex42a6a8e1

1118218465 has 48 divisors (see below), whose sum is σ = 1696962960. Its totient is φ = 701084160.

The previous prime is 1118218463. The next prime is 1118218481. The reversal of 1118218465 is 5648128111.

1118218465 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 519841 + 1117698624 = 721^2 + 33432^2 .

It is not a de Polignac number, because 1118218465 - 21 = 1118218463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1118218463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345555 + ... + 348775.

It is an arithmetic number, because the mean of its divisors is an integer number (35353395).

Almost surely, 21118218465 is an apocalyptic number.

It is an amenable number.

1118218465 is a deficient number, since it is larger than the sum of its proper divisors (578744495).

1118218465 is a wasteful number, since it uses less digits than its factorization.

1118218465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3355 counting only the distinct ones).

The product of its digits is 15360, while the sum is 37.

The square root of 1118218465 is about 33439.7736983969. The cubic root of 1118218465 is about 1037.9478966104.

The spelling of 1118218465 in words is "one billion, one hundred eighteen million, two hundred eighteen thousand, four hundred sixty-five".

Divisors: 1 5 7 13 35 49 65 91 109 245 455 545 637 763 1417 3185 3221 3815 5341 7085 9919 16105 22547 26705 41873 49595 69433 112735 157829 209365 293111 347165 351089 789145 1465555 1755445 2051777 2457623 4564157 10258885 12288115 17203361 22820785 31949099 86016805 159745495 223643693 1118218465