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272204279824 = 242325321072
BaseRepresentation
bin1111110110000010100…
…0111011000000010000
3222000121101101010211111
43331200220323000100
513424433243423244
6325014322223104
725444322126311
oct3754050730020
9860541333744
10272204279824
11a5494246334
12449087b4a94
131c8903361c9
14d26376a608
157132349e34
hex3f60a3b010

272204279824 has 135 divisors (see below), whose sum is σ = 567222286813. Its totient is φ = 126534618496.

The previous prime is 272204279821. The next prime is 272204279843. The reversal of 272204279824 is 428972402272.

The square root of 272204279824 is 521732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196231280400 + 75972999424 = 442980^2 + 275632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272204279821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2543965179 + ... + 2543965285.

Almost surely, 2272204279824 is an apocalyptic number.

272204279824 is the 521732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272204279824

272204279824 is an abundant number, since it is smaller than the sum of its proper divisors (295018006989).

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

272204279824 is an equidigital number, since it uses as much as digits as its factorization.

272204279824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

Multiplying 272204279824 by its sum of digits (49), we get a square (13338009711376 = 36521242).

The spelling of 272204279824 in words is "two hundred seventy-two billion, two hundred four million, two hundred seventy-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 53 92 106 107 184 212 214 368 424 428 529 848 856 1058 1219 1712 2116 2438 2461 2809 4232 4876 4922 5618 5671 8464 9752 9844 11236 11342 11449 19504 19688 22472 22684 22898 28037 39376 44944 45368 45796 56074 56603 64607 90736 91592 112148 113206 129214 130433 183184 224296 226412 258428 260866 263327 300563 448592 452824 516856 521732 526654 601126 606797 905648 1033712 1043464 1053308 1202252 1213594 1485961 2086928 2106616 2404504 2427188 2971922 2999959 4213232 4809008 4854376 5943844 5999918 6056521 6912949 9708752 11887688 11999836 12113042 13825898 13956331 23775376 23999672 24226084 27651796 27912662 32160241 47999344 48452168 55303592 55825324 64320482 96904336 110607184 111650648 128640964 158997827 223301296 257281928 317995654 320995613 514563856 635991308 641991226 739685543 1271982616 1283982452 1479371086 2543965232 2567964904 2958742172 5135929808 5917484344 11834968688 17012767489 34025534978 68051069956 136102139912 272204279824