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202104961812 = 223313291912049
BaseRepresentation
bin1011110000111001100…
…1001111101100010100
3201022200001010211021000
42330032121033230110
511302402332234222
6232502402423300
720413230554625
oct2741631175424
9638601124230
10202104961812
1178791a89166
1233204661b30
131609b456600
149ad389da4c
1553cd16b9ac
hex2f0e64fb14

202104961812 has 144 divisors (see below), whose sum is σ = 568046640000. Its totient is φ = 62113319424.

The previous prime is 202104961691. The next prime is 202104961829. The reversal of 202104961812 is 218169401202.

202104961812 is a `hidden beast` number, since 2 + 0 + 21 + 0 + 4 + 9 + 618 + 12 = 666.

It is a super-3 number, since 3×2021049618123 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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, 16767564 + ... + 16779612.

Almost surely, 2202104961812 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 202104961812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284023320000).

202104961812 is an abundant number, since it is smaller than the sum of its proper divisors (365941678188).

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

202104961812 is a wasteful number, since it uses less digits than its factorization.

202104961812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 202104961812 in words is "two hundred two billion, one hundred four million, nine hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 919 1014 1404 1521 1838 2028 2757 3042 3676 4563 5514 6084 8271 9126 11028 11947 12049 16542 18252 23894 24098 24813 33084 35841 36147 47788 48196 49626 71682 72294 99252 107523 108441 143364 144588 155311 156637 215046 216882 310622 313274 322569 325323 430092 433764 465933 469911 621244 626548 645138 650646 931866 939822 1290276 1301292 1397799 1409733 1863732 1879644 2036281 2795598 2819466 4072562 4193397 4229199 5591196 5638932 6108843 8145124 8386794 8458398 11073031 12217686 16773588 16916796 18326529 22146062 24435372 33219093 36653058 44292124 54979587 66438186 73306116 99657279 109959174 132876372 143949403 199314558 219918348 287898806 298971837 398629116 431848209 575797612 597943674 863696418 1195887348 1295544627 1727392836 1871342239 2591089254 3742684478 3886633881 5182178508 5614026717 7485368956 7773267762 11228053434 15546535524 16842080151 22456106868 33684160302 50526240453 67368320604 101052480906 202104961812