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185073223722244 = 2211213436592
BaseRepresentation
bin101010000101001010110111…
…110000011110010100000100
3220021021211100011122011202121
4222011022313300132110010
5143224214430233102434
61453341244254215324
753661046004355604
oct5205126760362404
9807254304564677
10185073223722244
1153a74127a40100
12189105201b4544
137c3643a340000
14339b83dd66c04
15165e2a50727b4
hexa852b7c1e504

185073223722244 has 135 divisors (see below), whose sum is σ = 385769203273811. Its totient is φ = 77631878369760.

The previous prime is 185073223722151. The next prime is 185073223722259. The reversal of 185073223722244 is 442227322370581.

The square root of 185073223722244 is 13604162.

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

It can be written as a sum of positive squares in 2 ways, for example, as 91762260464644 + 93310963257600 = 9579262^2 + 9659760^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 185073223722191 and 185073223722200.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50580272487 + ... + 50580276145.

Almost surely, 2185073223722244 is an apocalyptic number.

185073223722244 is the 13604162-nd square number.

It is an amenable number.

185073223722244 is an abundant number, since it is smaller than the sum of its proper divisors (200695979551567).

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

185073223722244 is an frugal number, since it uses more digits than its factorization.

185073223722244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 52.

The spelling of 185073223722244 in words is "one hundred eighty-five trillion, seventy-three billion, two hundred twenty-three million, seven hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 2197 3146 3659 3718 4394 6292 7318 7436 8788 14636 20449 24167 28561 40249 40898 47567 48334 57122 80498 81796 95134 96668 114244 160996 190268 265837 314171 442739 523237 531674 618371 628342 885478 1046474 1063348 1236742 1256684 1770956 2092948 2473484 3455881 5755607 6802081 6911762 8038823 11511214 13388281 13604162 13823524 16077646 23022428 26776562 27208324 32155292 53553124 74822891 88427053 104504699 147271091 149645782 174047653 176854106 209009398 294542182 299291564 348095306 353708212 418018796 589084364 696190612 972697583 1149551689 1619982001 1914524183 1945395166 2262619489 2299103378 3239964002 3829048366 3890790332 4525238978 4598206756 6479928004 7658096732 9050477956 12645068579 21059766013 24888814379 25290137158 29414053357 42119532026 49777628758 50580274316 58828106714 84239064052 99555257516 117656213428 273776958169 323554586927 382382693641 547553916338 647109173854 764765387282 1095107832676 1294218347708 1529530774564 3559100456197 4206209630051 7118200912394 8412419260102 14236401824788 16824838520204 46268305930561 92536611861122 185073223722244