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1004041665 = 325112971901
BaseRepresentation
bin111011110110000…
…111010111000001
32120222021121020100
4323312013113001
54024013313130
6243344033013
733611133114
oct7366072701
92528247210
101004041665
11475834400
12240302769
131300239c3
14974c057b
155d22dc60
hex3bd875c1

1004041665 has 72 divisors (see below), whose sum is σ = 1933672104. Its totient is φ = 481536000.

The previous prime is 1004041603. The next prime is 1004041673. The reversal of 1004041665 is 5661404001.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 1001532609 = 1584^2 + 31647^2 .

It is not a de Polignac number, because 1004041665 - 27 = 1004041537 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527215 + ... + 529115.

It is an arithmetic number, because the mean of its divisors is an integer number (26856557).

Almost surely, 21004041665 is an apocalyptic number.

1004041665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004041665 is a deficient number, since it is larger than the sum of its proper divisors (929630439).

1004041665 is a wasteful number, since it uses less digits than its factorization.

1004041665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1004041665 is about 31686.6164965589. The cubic root of 1004041665 is about 1001.3454107249.

Adding to 1004041665 its reverse (5661404001), we get a palindrome (6665445666).

The spelling of 1004041665 in words is "one billion, four million, forty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 97 99 121 165 291 363 485 495 605 873 1067 1089 1455 1815 1901 3201 4365 5335 5445 5703 9505 9603 11737 16005 17109 20911 28515 35211 48015 58685 62733 85545 104555 105633 176055 184397 188199 230021 313665 528165 553191 690063 921985 940995 1150105 1659573 2028367 2070189 2765955 3450315 6085101 8297865 10141835 10350945 18255303 22312037 30425505 66936111 91276515 111560185 200808333 334680555 1004041665