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1661617420980 = 22351121271802149
BaseRepresentation
bin11000001011100000000…
…111011011101010110100
312212211220222022210012020
4120023200013123222310
5204210443024432410
63311200403553140
7231022300016556
oct30134007335264
95784828283166
101661617420980
11590762796900
1222a04838b7b0
13c08c77a855a
145a5cbccb4d6
152d350d27a70
hex182e01dbab4

1661617420980 has 144 divisors (see below), whose sum is σ = 5154206668800. Its totient is φ = 399644340480.

The previous prime is 1661617420973. The next prime is 1661617421017. The reversal of 1661617420980 is 890247161661.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20946 + ... + 1823094.

Almost surely, 21661617420980 is an apocalyptic number.

1661617420980 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 1661617420980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577103334400).

1661617420980 is an abundant number, since it is smaller than the sum of its proper divisors (3492589247820).

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

1661617420980 is a wasteful number, since it uses less digits than its factorization.

1661617420980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802310 (or 1802297 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1661617420980 in words is "one trillion, six hundred sixty-one billion, six hundred seventeen million, four hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 127 132 165 220 242 254 330 363 381 484 508 605 635 660 726 762 1210 1270 1397 1452 1524 1815 1905 2420 2540 2794 3630 3810 4191 5588 6985 7260 7620 8382 13970 15367 16764 20955 27940 30734 41910 46101 61468 76835 83820 92202 153670 184404 230505 307340 461010 922020 1802149 3604298 5406447 7208596 9010745 10812894 18021490 19823639 21625788 27032235 36042980 39647278 54064470 59470917 79294556 99118195 108128940 118941834 198236390 218060029 228872923 237883668 297354585 396472780 436120058 457745846 594709170 654180087 686618769 872240116 915491692 1090300145 1144364615 1189418340 1308360174 1373237538 2180600290 2288729230 2517602153 2616720348 2746475076 3270900435 3433093845 4361200580 4577458460 5035204306 6541800870 6866187690 7552806459 10070408612 12588010765 13083601740 13732375380 15105612918 25176021530 27693623683 30211225836 37764032295 50352043060 55387247366 75528064590 83080871049 110774494732 138468118415 151056129180 166161742098 276936236830 332323484196 415404355245 553872473660 830808710490 1661617420980