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542052553200 = 243521814924889
BaseRepresentation
bin1111110001101001101…
…10011001000111110000
31220211010120111202101220
413320310312121013300
532340110423200300
61053003203225040
754106365452304
oct7706466310760
91824116452356
10542052553200
111999795980a4
1289078378180
133c166517c52
141c342249d04
15e17790dda0
hex7e34d991f0

542052553200 has 120 divisors (see below), whose sum is σ = 1736540454000. Its totient is φ = 144533575680.

The previous prime is 542052553183. The next prime is 542052553201. The reversal of 542052553200 is 2355250245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542052553201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21766356 + ... + 21791244.

It is an arithmetic number, because the mean of its divisors is an integer number (14471170450).

Almost surely, 2542052553200 is an apocalyptic number.

542052553200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542052553200 is an abundant number, since it is smaller than the sum of its proper divisors (1194487900800).

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

542052553200 is a wasteful number, since it uses less digits than its factorization.

542052553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43059 (or 43048 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The spelling of 542052553200 in words is "five hundred forty-two billion, fifty-two million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18149 24889 36298 49778 54447 72596 74667 90745 99556 108894 124445 145192 149334 181490 199112 217788 248890 272235 290384 298668 362980 373335 398224 435576 453725 497780 544470 597336 622225 725960 746670 871152 907450 995560 1088940 1194672 1244450 1361175 1451920 1493340 1814900 1866675 1991120 2177880 2488900 2722350 2986680 3629800 3733350 4355760 4977800 5444700 5973360 7259600 7466700 9955600 10889400 14933400 21778800 29866800 451710461 903420922 1355131383 1806841844 2258552305 2710262766 3613683688 4517104610 5420525532 6775656915 7227367376 9034209220 10841051064 11292761525 13551313830 18068418440 21682102128 22585523050 27102627660 33878284575 36136836880 45171046100 54205255320 67756569150 90342092200 108410510640 135513138300 180684184400 271026276600 542052553200