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2099487648 = 253314391607
BaseRepresentation
bin111110100100011…
…1010001110100000
312102022120000121210
41331020322032200
513244432101043
6544155150120
7103012231146
oct17510721640
95368500553
102099487648
11988119165
124a7145340
13275c6b8ab
1415cb95596
15c44b5633
hex7d23a3a0

2099487648 has 96 divisors (see below), whose sum is σ = 5705441280. Its totient is φ = 675290880.

The previous prime is 2099487623. The next prime is 2099487713. The reversal of 2099487648 is 8467849902.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305661 + ... + 1307267.

It is an arithmetic number, because the mean of its divisors is an integer number (59431680).

Almost surely, 22099487648 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 2099487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852720640).

2099487648 is an abundant number, since it is smaller than the sum of its proper divisors (3605953632).

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

2099487648 is a wasteful number, since it uses less digits than its factorization.

2099487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The square root of 2099487648 is about 45820.1663899205. The cubic root of 2099487648 is about 1280.4750125015.

The spelling of 2099487648 in words is "two billion, ninety-nine million, four hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 439 496 744 878 992 1317 1488 1607 1756 2634 2976 3214 3512 4821 5268 6428 7024 9642 10536 12856 13609 14048 19284 21072 25712 27218 38568 40827 42144 49817 51424 54436 77136 81654 99634 108872 149451 154272 163308 199268 217744 298902 326616 398536 435488 597804 653232 705473 797072 1195608 1306464 1410946 1594144 2116419 2391216 2821892 4232838 4782432 5643784 8465676 11287568 16931352 21869663 22575136 33862704 43739326 65608989 67725408 87478652 131217978 174957304 262435956 349914608 524871912 699829216 1049743824 2099487648