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42850450355600 = 24521729217294373
BaseRepresentation
bin10011011111000111001011…
…10111110011010110010000
312121201110111120011012122002
421233203211313303112100
521104030210242334400
6231045120343533132
712011562051226466
oct1157434567632620
9177643446135562
1042850450355600
1112720857131508
12498085515a1a8
131abaa1ac3aa04
14a81d89772836
154e498a18eed5
hex26f8e5df3590

42850450355600 has 120 divisors (see below), whose sum is σ = 112762742443560. Its totient is φ = 15575660584960.

The previous prime is 42850450355543. The next prime is 42850450355737. The reversal of 42850450355600 is 655305405824.

It can be written as a sum of positive squares in 12 ways, for example, as 10385434350736 + 32465016004864 = 3222644^2 + 5697808^2 .

It is a super-2 number, since 2×428504503556002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108449987 + ... + 108844386.

It is an arithmetic number, because the mean of its divisors is an integer number (939689520363).

Almost surely, 242850450355600 is an apocalyptic number.

42850450355600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42850450355600 is an abundant number, since it is smaller than the sum of its proper divisors (69912292087960).

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

42850450355600 is a wasteful number, since it uses less digits than its factorization.

42850450355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217294437 (or 217294426 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 47.

The spelling of 42850450355600 in words is "forty-two trillion, eight hundred fifty billion, four hundred fifty million, three hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 29 34 40 50 58 68 80 85 100 116 136 145 170 200 232 272 290 340 400 425 464 493 580 680 725 850 986 1160 1360 1450 1700 1972 2320 2465 2900 3400 3944 4930 5800 6800 7888 9860 11600 12325 19720 24650 39440 49300 98600 197200 217294373 434588746 869177492 1086471865 1738354984 2172943730 3476709968 3694004341 4345887460 5432359325 6301536817 7388008682 8691774920 10864718650 12603073634 14776017364 17383549840 18470021705 21729437300 25206147268 29552034728 31507684085 36940043410 43458874600 50412294536 59104069456 63015368170 73880086820 86917749200 92350108525 100824589072 107126125889 126030736340 147760173640 157538420425 184700217050 214252251778 252061472680 295520347280 315076840850 369400434100 428504503556 504122945360 535630629445 630153681700 738800868200 857009007112 1071261258890 1260307363400 1477601736400 1714018014224 2142522517780 2520614726800 2678153147225 4285045035560 5356306294450 8570090071120 10712612588900 21425225177800 42850450355600