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42987042900 = 22335236714337
BaseRepresentation
bin101000000010001110…
…100011100001010100
311002221211201001001000
4220002032203201110
51201014140333100
631425321303300
73051154556454
oct500216434124
9132854631030
1042987042900
111725a07963a
1283b8334b30
134090b7b279
14211b19dd64
1511b8d6b900
hexa023a3854

42987042900 has 144 divisors (see below), whose sum is σ = 138264900480. Its totient is φ = 11457446400.

The previous prime is 42987042899. The next prime is 42987042937. The reversal of 42987042900 is 924078924.

42987042900 is a `hidden beast` number, since 4 + 298 + 70 + 4 + 290 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9909532 + ... + 9913868.

It is an arithmetic number, because the mean of its divisors is an integer number (960172920).

Almost surely, 242987042900 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 42987042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69132450240).

42987042900 is an abundant number, since it is smaller than the sum of its proper divisors (95277857580).

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

42987042900 is a wasteful number, since it uses less digits than its factorization.

42987042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42987042900 in words is "forty-two billion, nine hundred eighty-seven million, forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3671 4337 7342 8674 11013 13011 14684 17348 18355 21685 22026 26022 33039 36710 39033 43370 44052 52044 55065 65055 66078 73420 78066 86740 91775 99117 108425 110130 117099 130110 132156 156132 165195 183550 195165 198234 216850 220260 234198 260220 275325 325275 330390 367100 390330 396468 433700 468396 495585 550650 585495 650550 660780 780660 825975 975825 991170 1101300 1170990 1301100 1651950 1951650 1982340 2341980 2477925 2927475 3303900 3903300 4955850 5854950 9911700 11709900 15921127 31842254 47763381 63684508 79605635 95526762 143290143 159211270 191053524 238816905 286580286 318422540 398028175 429870429 477633810 573160572 716450715 796056350 859740858 955267620 1194084525 1432901430 1592112700 1719481716 2149352145 2388169050 2865802860 3582253575 4298704290 4776338100 7164507150 8597408580 10746760725 14329014300 21493521450 42987042900