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42443526096 = 2433793074051
BaseRepresentation
bin100111100001110101…
…001100111111010000
311001112221222112011000
4213201311030333100
51143411020313341
631255344022000
73031535006406
oct474165147720
9131487875130
1042443526096
111700029a3a4
128286301900
13400539a9aa
1420a8d1b476
1511862a98b6
hex9e1d4cfd0

42443526096 has 160 divisors (see below), whose sum is σ = 123803187200. Its totient is φ = 13919817600.

The previous prime is 42443526079. The next prime is 42443526113. The reversal of 42443526096 is 69062534424.

42443526096 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 35 + 2 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42443526079) and next prime (42443526113).

It is a super-3 number, since 3×424435260963 (a number of 33 digits) contains 333 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, 10475271 + ... + 10479321.

It is an arithmetic number, because the mean of its divisors is an integer number (773769920).

Almost surely, 242443526096 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 42443526096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61901593600).

42443526096 is an abundant number, since it is smaller than the sum of its proper divisors (81359661104).

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

42443526096 is a wasteful number, since it uses less digits than its factorization.

42443526096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 42443526096 in words is "forty-two billion, four hundred forty-three million, five hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 307 316 432 474 614 632 711 921 948 1228 1264 1422 1842 1896 2133 2456 2763 2844 3684 3792 4051 4266 4912 5526 5688 7368 8102 8289 8532 11052 11376 12153 14736 16204 16578 17064 22104 24253 24306 32408 33156 34128 36459 44208 48506 48612 64816 66312 72759 72918 97012 97224 109377 132624 145518 145836 194024 194448 218277 218754 291036 291672 320029 388048 436554 437508 582072 583344 640058 654831 873108 875016 960087 1164144 1243657 1280116 1309662 1746216 1750032 1920174 2487314 2560232 2619324 2880261 3492432 3730971 3840348 4974628 5120464 5238648 5760522 7461942 7680696 8640783 9949256 10477296 11192913 11521044 14923884 15361392 17281566 19898512 22385826 23042088 29847768 33578739 34563132 44771652 46084176 59695536 67157478 69126264 89543304 98248903 134314956 138252528 179086608 196497806 268629912 294746709 392995612 537259824 589493418 785991224 884240127 1178986836 1571982448 1768480254 2357973672 2652720381 3536960508 4715947344 5305440762 7073921016 10610881524 14147842032 21221763048 42443526096