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1016090160000 = 273544233709
BaseRepresentation
bin11101100100100111011…
…00010110101110000000
310121010201001220020112220
432302103230112232000
5113121423040110000
62054441350251040
7133260442566336
oct16622354265600
93533631806486
101016090160000
11361a15451293
12144b12656a80
1374a8092b786
1437271367b56
151b66e11b1a0
hexec93b16b80

1016090160000 has 160 divisors (see below), whose sum is σ = 3372658060200. Its totient is φ = 270957312000.

The previous prime is 1016090159999. The next prime is 1016090160013. The reversal of 1016090160000 is 610906101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 19 ways as a sum of consecutive naturals, for example, 1876855 + ... + 2356854.

Almost surely, 21016090160000 is an apocalyptic number.

1016090160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016090160000 is an abundant number, since it is smaller than the sum of its proper divisors (2356567900200).

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

1016090160000 is an frugal number, since it uses more digits than its factorization.

1016090160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233746 (or 4233719 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 1016090160000 in words is "one trillion, sixteen billion, ninety million, one hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 4233709 8467418 12701127 16934836 21168545 25402254 33869672 42337090 50804508 63505635 67739344 84674180 101609016 105842725 127011270 135478688 169348360 203218032 211685450 254022540 270957376 317528175 338696720 406436064 423370900 508045080 529213625 541914752 635056350 677393440 812872128 846741800 1016090160 1058427250 1270112700 1354786880 1587640875 1625744256 1693483600 2032180320 2116854500 2540225400 2646068125 2709573760 3175281750 3386967200 4064360640 4233709000 5080450800 5292136250 6350563500 6773934400 7938204375 8128721280 8467418000 10160901600 10584272500 12701127000 13547868800 15876408750 16934836000 20321803200 21168545000 25402254000 31752817500 33869672000 40643606400 42337090000 50804508000 63505635000 67739344000 84674180000 101609016000 127011270000 169348360000 203218032000 254022540000 338696720000 508045080000 1016090160000