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27993216632360 = 2357234792484527
BaseRepresentation
bin1100101110101101011011…
…01110111100011000101000
310200010010101101202010110112
412113112231232330120220
512132120101424213420
6135311523423033452
75616305001251120
oct627265556743050
9120103341663415
1027993216632360
118a12947009811
12318133373b888
131280997730895
146cac43a51c80
1533827b5248c5
hex1975adbbc628

27993216632360 has 128 divisors (see below), whose sum is σ = 76710366904320. Its totient is φ = 8985056669952.

The previous prime is 27993216632281. The next prime is 27993216632387. The reversal of 27993216632360 is 6323661239972.

It is a self number, because there is not a number n which added to its sum of digits gives 27993216632360.

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, 45939584 + ... + 46544943.

It is an arithmetic number, because the mean of its divisors is an integer number (599299741440).

Almost surely, 227993216632360 is an apocalyptic number.

27993216632360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27993216632360 is an abundant number, since it is smaller than the sum of its proper divisors (48717150271960).

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

27993216632360 is a wasteful number, since it uses less digits than its factorization.

27993216632360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92484615 (or 92484611 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 59.

The spelling of 27993216632360 in words is "twenty-seven trillion, nine hundred ninety-three billion, two hundred sixteen million, six hundred thirty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 47 56 70 92 94 115 140 161 184 188 230 235 280 322 329 376 460 470 644 658 805 920 940 1081 1288 1316 1610 1645 1880 2162 2632 3220 3290 4324 5405 6440 6580 7567 8648 10810 13160 15134 21620 30268 37835 43240 60536 75670 151340 302680 92484527 184969054 369938108 462422635 647391689 739876216 924845270 1294783378 1849690540 2127144121 2589566756 3236958445 3699381080 4254288242 4346772769 5179133512 6473916890 8508576484 8693545538 10635720605 12947833780 14890008847 17017152968 17387091076 21271441210 21733863845 25895667560 29780017694 30427409383 34774182152 42542882420 43467727690 59560035388 60854818766 74450044235 85085764840 86935455380 99975773687 119120070776 121709637532 148900088470 152137046915 173870910760 199951547374 243419275064 297800176940 304274093830 399903094748 499878868435 595600353880 608548187660 699830415809 799806189496 999757736870 1217096375320 1399660831618 1999515473740 2799321663236 3499152079045 3999030947480 5598643326472 6998304158090 13996608316180 27993216632360