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264332213126240 = 25574688078439
BaseRepresentation
bin111100000110100010100011…
…101010101000010001100000
31021122220220122102022200001112
4330012202203222220101200
5234121304333030014430
62334104313050122452
7106451241441410000
oct7406424352502140
91248826572280045
10264332213126240
11772517312018a6
122579142b420428
13b4655614a592c
14493ba66b40000
152085d4a346195
hexf068a3aa8460

264332213126240 has 120 divisors (see below), whose sum is σ = 728522314546320. Its totient is φ = 90628187225856.

The previous prime is 264332213126237. The next prime is 264332213126327. The reversal of 264332213126240 is 42621312233462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 343655060 + ... + 344423379.

It is an arithmetic number, because the mean of its divisors is an integer number (6071019287886).

Almost surely, 2264332213126240 is an apocalyptic number.

264332213126240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264332213126240 is an abundant number, since it is smaller than the sum of its proper divisors (464190101420080).

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

264332213126240 is an frugal number, since it uses more digits than its factorization.

264332213126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688078482 (or 688078453 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 264332213126240 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2401 2744 3430 3920 4802 5488 6860 7840 9604 10976 12005 13720 19208 24010 27440 38416 48020 54880 76832 96040 192080 384160 688078439 1376156878 2752313756 3440392195 4816549073 5504627512 6880784390 9633098146 11009255024 13761568780 19266196292 22018510048 24082745365 27523137560 33715843511 38532392584 48165490730 55046275120 67431687022 77064785168 96330981460 110092550240 134863374044 154129570336 168579217555 192661962920 236010904577 269726748088 337158435110 385323925840 472021809154 539453496176 674316870220 770647851680 944043618308 1078906992352 1180054522885 1348633740440 1652076332039 1888087236616 2360109045770 2697267480880 3304152664078 3776174473232 4720218091540 5394534961760 6608305328156 7552348946464 8260381660195 9440436183080 13216610656312 16520763320390 18880872366160 26433221312624 33041526640780 37761744732320 52866442625248 66083053281560 132166106563120 264332213126240