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999389016 = 23372392
BaseRepresentation
bin111011100100010…
…111011101011000
32120122112020000000
4323210113131120
54021320422031
6243100213000
733523444413
oct7344273530
92518466000
10999389016
1147314683a
1223a83a160
1312c085062
1496a2cb7a
155cb103e6
hex3b917758

999389016 has 96 divisors (see below), whose sum is σ = 2822161200. Its totient is φ = 331735824.

The previous prime is 999389009. The next prime is 999389029. The reversal of 999389016 is 610983999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4181425 + ... + 4181663.

Almost surely, 2999389016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999389016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411080600).

999389016 is an abundant number, since it is smaller than the sum of its proper divisors (1822772184).

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

999389016 is an frugal number, since it uses more digits than its factorization.

999389016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 999389016 is about 31613.1146203597. The cubic root of 999389016 is about 999.7962971746.

The spelling of 999389016 in words is "nine hundred ninety-nine million, three hundred eighty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 239 243 324 478 486 648 717 729 956 972 1434 1458 1912 1944 2151 2187 2868 2916 4302 4374 5736 5832 6453 8604 8748 12906 17208 17496 19359 25812 38718 51624 57121 58077 77436 114242 116154 154872 171363 174231 228484 232308 342726 348462 456968 464616 514089 522693 685452 696924 1028178 1045386 1370904 1393848 1542267 2056356 2090772 3084534 4112712 4181544 4626801 6169068 9253602 12338136 13880403 18507204 27760806 37014408 41641209 55521612 83282418 111043224 124923627 166564836 249847254 333129672 499694508 999389016