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189832913681640 = 233523241128527599
BaseRepresentation
bin101011001010011011101011…
…011000101111110011101000
3220220010211221011000101102120
4223022123223120233303220
5144340210301400303030
61511424011524431240
754661655365444545
oct5312335330576350
9826124834011376
10189832913681640
1155539760926319
121935aa82848520
1381c0222a2a878
1434c3d67bd5bcc
1516e2eca4e4010
hexaca6eb62fce8

189832913681640 has 128 divisors (see below), whose sum is σ = 594506055168000. Its totient is φ = 48401063870720.

The previous prime is 189832913681597. The next prime is 189832913681651. The reversal of 189832913681640 is 46186319238981.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7609440 + ... + 20918159.

It is an arithmetic number, because the mean of its divisors is an integer number (4644578556000).

Almost surely, 2189832913681640 is an apocalyptic number.

189832913681640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189832913681640 is an abundant number, since it is smaller than the sum of its proper divisors (404673141486360).

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

189832913681640 is a wasteful number, since it uses less digits than its factorization.

189832913681640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28530047 (or 28530043 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 189832913681640 in words is "one hundred eighty-nine trillion, eight hundred thirty-two billion, nine hundred thirteen million, six hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2411 2760 4822 7233 9644 12055 14466 19288 24110 28932 36165 48220 55453 57864 72330 96440 110906 144660 166359 221812 277265 289320 332718 443624 554530 665436 831795 1109060 1330872 1663590 2218120 3327180 6654360 28527599 57055198 85582797 114110396 142637995 171165594 228220792 285275990 342331188 427913985 570551980 656134777 684662376 855827970 1141103960 1312269554 1711655940 1968404331 2624539108 3280673885 3423311880 3936808662 5249078216 6561347770 7873617324 9842021655 13122695540 15747234648 19684043310 26245391080 39368086620 68780041189 78736173240 137560082378 206340123567 275120164756 343900205945 412680247134 550240329512 687800411890 825360494268 1031700617835 1375600823780 1581940947347 1650720988536 2063401235670 2751201647560 3163881894694 4126802471340 4745822842041 6327763789388 7909704736735 8253604942680 9491645684082 12655527578776 15819409473470 18983291368164 23729114210205 31638818946940 37966582736328 47458228420410 63277637893880 94916456840820 189832913681640