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542216987280 = 2434583675461
BaseRepresentation
bin1111110001111101010…
…01101010001010010000
31220211120000220212120000
413320332221222022100
532340430022043110
61053031355450000
754113433230043
oct7707651521220
91824500825500
10542216987280
11199a53398931
1289103456900
133c1915cba17
141c35a010c5a
15e1870901c0
hex7e3ea6a290

542216987280 has 100 divisors (see below), whose sum is σ = 1883199947772. Its totient is φ = 144591194880.

The previous prime is 542216987251. The next prime is 542216987281. The reversal of 542216987280 is 82789612245.

542216987280 is a `hidden beast` number, since 5 + 4 + 221 + 69 + 87 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91729025424 + 450487961856 = 302868^2 + 671184^2 .

It is a super-2 number, since 2×5422169872802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (542216987281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41831251 + ... + 41844210.

Almost surely, 2542216987280 is an apocalyptic number.

It is an amenable number.

542216987280 is an abundant number, since it is smaller than the sum of its proper divisors (1340982960492).

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

542216987280 is a wasteful number, since it uses less digits than its factorization.

542216987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83675486 (or 83675471 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 542216987280 in words is "five hundred forty-two billion, two hundred sixteen million, nine hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 83675461 167350922 251026383 334701844 418377305 502052766 669403688 753079149 836754610 1004105532 1255131915 1338807376 1506158298 1673509220 2008211064 2259237447 2510263830 3012316596 3347018440 3765395745 4016422128 4518474894 5020527660 6024633192 6694036880 6777712341 7530791490 9036949788 10041055320 11296187235 12049266384 13555424682 15061582980 18073899576 20082110640 22592374470 27110849364 30123165960 33888561705 36147799152 45184748940 54221698728 60246331920 67777123410 90369497880 108443397456 135554246820 180738995760 271108493640 542216987280