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542043643160 = 235234360722573
BaseRepresentation
bin1111110001101000101…
…00011001110100011000
31220211002221202002010102
413320310110121310120
532340101133040120
61053002244234532
754106226642435
oct7706424316430
91824087662112
10542043643160
11199974561928
128907539ba48
133c164718536
141c340daab8c
15e176c4dd75
hex7e34519d18

542043643160 has 128 divisors (see below), whose sum is σ = 1304423239680. Its totient is φ = 202224895488.

The previous prime is 542043643147. The next prime is 542043643199. The reversal of 542043643160 is 61346340245.

It is a super-2 number, since 2×5420436431602 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 24001634 + ... + 24024206.

It is an arithmetic number, because the mean of its divisors is an integer number (10190806560).

Almost surely, 2542043643160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542043643160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652211619840).

542043643160 is an abundant number, since it is smaller than the sum of its proper divisors (762379596520).

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

542043643160 is a wasteful number, since it uses less digits than its factorization.

542043643160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23253 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 542043643160 in words is "five hundred forty-two billion, forty-three million, six hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 344 430 460 607 860 920 989 1214 1720 1978 2428 3035 3956 4856 4945 6070 7912 9890 12140 13961 19780 22573 24280 26101 27922 39560 45146 52202 55844 69805 90292 104404 111688 112865 130505 139610 180584 208808 225730 261010 279220 451460 519179 522020 558440 600323 902920 970639 1038358 1044040 1200646 1941278 2076716 2401292 2595895 3001615 3882556 4153432 4802584 4853195 5191790 6003230 7765112 9706390 10383580 12006460 13701811 19412780 20767160 22324697 24012920 27403622 38825560 44649394 54807244 68509055 89298788 109614488 111623485 137018110 178597576 223246970 274036220 315141653 446493940 548072440 589177873 630283306 892987880 1178355746 1260566612 1575708265 2356711492 2521133224 2945889365 3151416530 4713422984 5891778730 6302833060 11783557460 12605666120 13551091079 23567114920 27102182158 54204364316 67755455395 108408728632 135510910790 271021821580 542043643160