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168946333273900 = 2252713179103718051
BaseRepresentation
bin100110011010011111100010…
…001011100100111100101100
3211011012010000110002201101001
4212122133202023210330230
5134121004042304231100
61355152512443330044
750404653430332040
oct4632374213447454
9734163013081331
10168946333273900
1149916812790806
1216b46b21220924
137336756270990
142da1090942020
15147ea36316d6a
hex99a7e22e4f2c

168946333273900 has 144 divisors (see below), whose sum is σ = 453737436445440. Its totient is φ = 53170021152000.

The previous prime is 168946333273723. The next prime is 168946333273901. The reversal of 168946333273900 is 9372333649861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (168946333273901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50230126 + ... + 53487925.

It is an arithmetic number, because the mean of its divisors is an integer number (3150954419760).

Almost surely, 2168946333273900 is an apocalyptic number.

168946333273900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168946333273900 is an abundant number, since it is smaller than the sum of its proper divisors (284791103171540).

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

168946333273900 is a wasteful number, since it uses less digits than its factorization.

168946333273900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103718264 (or 103718257 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 64.

The spelling of 168946333273900 in words is "one hundred sixty-eight trillion, nine hundred forty-six billion, three hundred thirty-three million, two hundred seventy-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 179 182 260 325 350 358 364 455 650 700 716 895 910 1253 1300 1790 1820 2275 2327 2506 3580 4475 4550 4654 5012 6265 8950 9100 9308 11635 12530 16289 17900 23270 25060 31325 32578 46540 58175 62650 65156 81445 116350 125300 162890 232700 325780 407225 814450 1628900 103718051 207436102 414872204 518590255 726026357 1037180510 1348334663 1452052714 2074361020 2592951275 2696669326 2904105428 3630131785 5185902550 5393338652 6741673315 7260263570 9438342641 10371805100 13483346630 14520527140 18150658925 18565531129 18876685282 26966693260 33708366575 36301317850 37131062258 37753370564 47191713205 67416733150 72602635700 74262124516 92827655645 94383426410 129958717903 134833466300 185655311290 188766852820 235958566025 241351904677 259917435806 371310622580 464138278225 471917132050 482703809354 519834871612 649793589515 928276556450 943834264100 965407618708 1206759523385 1299587179030 1689463332739 1856553112900 2413519046770 2599174358060 3248967947575 3378926665478 4827038093540 6033797616925 6497935895150 6757853330956 8447316663695 12067595233850 12995871790300 16894633327390 24135190467700 33789266654780 42236583318475 84473166636950 168946333273900