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2987267712 = 273111354401
BaseRepresentation
bin1011001000001110…
…0001011010000000
321201012001220220220
42302003201122000
522104220031322
61212231303040
7134012233212
oct26203413200
97635056826
102987267712
1112a32644a0
126b451aa80
13387b77140
14204a505b2
151273cb55c
hexb20e1680

2987267712 has 128 divisors (see below), whose sum is σ = 9322326720. Its totient is φ = 835584000.

The previous prime is 2987267707. The next prime is 2987267719. The reversal of 2987267712 is 2177627892.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2987267719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27712 + ... + 82112.

Almost surely, 22987267712 is an apocalyptic number.

2987267712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2987267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661163360).

2987267712 is an abundant number, since it is smaller than the sum of its proper divisors (6335059008).

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

2987267712 is a wasteful number, since it uses less digits than its factorization.

2987267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54442 (or 54430 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 2987267712 is about 54655.9028102180. The cubic root of 2987267712 is about 1440.2063284598.

The spelling of 2987267712 in words is "two billion, nine hundred eighty-seven million, two hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54401 54912 108802 163203 217604 326406 435208 598411 652812 707213 870416 1196822 1305624 1414426 1740832 1795233 2121639 2393644 2611248 2828852 3481664 3590466 4243278 4787288 5222496 5657704 6963328 7180932 7779343 8486556 9574576 10444992 11315408 14361864 15558686 16973112 19149152 20889984 22630816 23338029 28723728 31117372 33946224 38298304 45261632 46676058 57447456 62234744 67892448 76596608 90523264 93352116 114894912 124469488 135784896 186704232 229789824 248938976 271569792 373408464 497877952 746816928 995755904 1493633856 2987267712