Search a number
-
+
204123536013060 = 2232529159539245107
BaseRepresentation
bin101110011010011000110110…
…110110101011011100000100
3222202202000112012010110000200
4232122120312312223130010
5203223330000204404220
62002045020301010500
760665303340154206
oct5632306666533404
9882660465113020
10204123536013060
115a04933a653a84
121aa88613253a30
1389b89c7a0a1a1
1438598bbb60776
15188eac5672890
hexb9a636dab704

204123536013060 has 144 divisors (see below), whose sum is σ = 640532206641600. Its totient is φ = 52555401061632.

The previous prime is 204123536013043. The next prime is 204123536013073. The reversal of 204123536013060 is 60310635321402.

204123536013060 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 235 + 360 + 1 + 3 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832671027 + ... + 832916133.

It is an arithmetic number, because the mean of its divisors is an integer number (4448140323900).

Almost surely, 2204123536013060 is an apocalyptic number.

204123536013060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204123536013060 is an abundant number, since it is smaller than the sum of its proper divisors (436408670628540).

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

204123536013060 is a wasteful number, since it uses less digits than its factorization.

204123536013060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404690 (or 404685 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 204123536013060 in words is "two hundred four trillion, one hundred twenty-three billion, five hundred thirty-six million, thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 159539 245107 319078 478617 490214 638156 735321 797695 957234 980428 1225535 1435851 1470642 1595390 1914468 2205963 2393085 2451070 2871702 2941284 3190780 3676605 4411926 4626631 4786170 4902140 5743404 7108103 7179255 7353210 8823852 9253262 9572340 11029815 13879893 14216206 14358510 14706420 18506524 21324309 22059630 23133155 27759786 28432412 28717020 35540515 41639679 42648618 44119260 46266310 55519572 63972927 69399465 71081030 83279358 85297236 92532620 106621545 127945854 138798930 142162060 166558716 208198395 213243090 255891708 277597860 319864635 416396790 426486180 639729270 832793580 1279458540 39104125673 78208251346 117312377019 156416502692 195520628365 234624754038 351937131057 391041256730 469249508076 586561885095 703874262114 782082513460 1134019644517 1173123770190 1407748524228 1759685655285 2268039289034 2346247540380 3402058933551 3519371310570 4536078578068 5670098222585 6804117867102 7038742621140 10206176800653 11340196445170 13608235734204 17010294667755 20412353601306 22680392890340 34020589335510 40824707202612 51030884003265 68041178671020 102061768006530 204123536013060