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206831849472 = 212326418753
BaseRepresentation
bin1100000010100000100…
…0111001000000000000
3201202212110121121010100
43000220020321000000
511342042423140342
6235003420202400
720641325466333
oct3005010710000
9652773547110
10206831849472
117a798206896
1234103699400
131667283c861
14a02158a61a
1555a8125e4c
hex3028239000

206831849472 has 156 divisors (see below), whose sum is σ = 598441700844. Its totient is φ = 68828528640.

The previous prime is 206831849459. The next prime is 206831849513. The reversal of 206831849472 is 274948138602.

206831849472 is a `hidden beast` number, since 2 + 0 + 6 + 83 + 1 + 8 + 494 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183649959936 + 23181889536 = 428544^2 + 152256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23625448 + ... + 23634200.

It is an arithmetic number, because the mean of its divisors is an integer number (3836164749).

Almost surely, 2206831849472 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 206831849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299220850422).

206831849472 is an abundant number, since it is smaller than the sum of its proper divisors (391609851372).

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

206831849472 is an equidigital number, since it uses as much as digits as its factorization.

206831849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 206831849472 in words is "two hundred six billion, eight hundred thirty-one million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 641 768 1024 1152 1282 1536 1923 2048 2304 2564 3072 3846 4096 4608 5128 5769 6144 7692 8753 9216 10256 11538 12288 15384 17506 18432 20512 23076 26259 30768 35012 36864 41024 46152 52518 61536 70024 78777 82048 92304 105036 123072 140048 157554 164096 184608 210072 246144 280096 315108 328192 369216 420144 492288 560192 630216 656384 738432 840288 984576 1120384 1260432 1312768 1476864 1680576 1969152 2240768 2520864 2625536 2953728 3361152 3938304 4481536 5041728 5610673 5907456 6722304 7876608 8963072 10083456 11221346 11814912 13444608 16832019 17926144 20166912 22442692 23629824 26889216 33664038 35852288 40333824 44885384 50496057 53778432 67328076 80667648 89770768 100992114 107556864 134656152 161335296 179541536 201984228 269312304 322670592 359083072 403968456 538624608 718166144 807936912 1077249216 1436332288 1615873824 2154498432 2872664576 3231747648 4308996864 5745329152 6463495296 8617993728 11490658304 12926990592 17235987456 22981316608 25853981184 34471974912 51707962368 68943949824 103415924736 206831849472