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193971639040 = 285269613919
BaseRepresentation
bin1011010010100110011…
…1000101001100000000
3200112200012212012220021
42310221213011030000
511134223214422130
6225035341223224
720004540504424
oct2645147051400
9615605765807
10193971639040
1175298a2a403
1231714861b14
13153a340349a
14956160cb84
1550a40d837a
hex2d299c5300

193971639040 has 144 divisors (see below), whose sum is σ = 467618961600. Its totient is φ = 77090144256.

The previous prime is 193971639019. The next prime is 193971639073. The reversal of 193971639040 is 40936179391.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211067701 + ... + 211068619.

It is an arithmetic number, because the mean of its divisors is an integer number (3247353900).

Almost surely, 2193971639040 is an apocalyptic number.

193971639040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193971639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233809480800).

193971639040 is an abundant number, since it is smaller than the sum of its proper divisors (273647322560).

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

193971639040 is an equidigital number, since it uses as much as digits as its factorization.

193971639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The spelling of 193971639040 in words is "one hundred ninety-three billion, nine hundred seventy-one million, six hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 538 613 640 919 1076 1226 1280 1345 1838 2152 2452 2690 3065 3676 4304 4595 4904 5380 6130 7352 8608 9190 9808 10760 12260 14704 17216 18380 19616 21520 24520 29408 34432 36760 39232 43040 49040 58816 68864 73520 78464 86080 98080 117632 147040 156928 164897 172160 196160 235264 247211 294080 329794 344320 392320 494422 563347 588160 659588 784640 824485 988844 1126694 1176320 1236055 1319176 1648970 1977688 2253388 2472110 2638352 2816735 3297940 3955376 4506776 4944220 5276704 5633470 6595880 7910752 9013552 9888440 10553408 11266940 13191760 15821504 18027104 19776880 21106816 22533880 26383520 31643008 36054208 39553760 42213632 45067760 52767040 63286016 72108416 79107520 90135520 105534080 144216832 151540343 158215040 180271040 211068160 303080686 316430080 360542080 606161372 721084160 757701715 1212322744 1515403430 2424645488 3030806860 4849290976 6061613720 9698581952 12123227440 19397163904 24246454880 38794327808 48492909760 96985819520 193971639040