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999045018 = 2321753229269
BaseRepresentation
bin111011100011000…
…011011110011010
32120121212202010100
4323203003132122
54021223420033
6243045000230
733520512456
oct7343033632
92517782110
10999045018
11472a31344
1223a6b3076
1312bc945ca
149697d666
155ca93513
hex3b8c379a

999045018 has 96 divisors (see below), whose sum is σ = 2354086800. Its totient is φ = 305031168.

The previous prime is 999045017. The next prime is 999045037. The reversal of 999045018 is 810540999.

It can be written as a sum of positive squares in 8 ways, for example, as 747092889 + 251952129 = 27333^2 + 15873^2 .

It is not an unprimeable number, because it can be changed into a prime (999045017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3713788 + ... + 3714056.

Almost surely, 2999045018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999045018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177043400).

999045018 is an abundant number, since it is smaller than the sum of its proper divisors (1355041782).

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

999045018 is a wasteful number, since it uses less digits than its factorization.

999045018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 999045018 is about 31607.6734037797. The cubic root of 999045018 is about 999.6815712806.

It can be divided in two parts, 9990450 and 18, that multiplied together give a square (179828100 = 134102).

The spelling of 999045018 in words is "nine hundred ninety-nine million, forty-five thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 229 269 306 318 458 477 538 687 807 901 954 1374 1614 1802 2061 2421 2703 3893 4122 4573 4842 5406 7786 8109 9146 11679 12137 13719 14257 16218 23358 24274 27438 28514 35037 36411 41157 42771 61601 70074 72822 82314 85542 109233 123202 128313 184803 206329 218466 242369 256626 369606 412658 484738 554409 618987 727107 1047217 1108818 1237974 1454214 1856961 2094434 2181321 3141651 3264853 3713922 4362642 6283302 6529706 9424953 9794559 18849906 19589118 29383677 55502501 58767354 111005002 166507503 333015006 499522509 999045018