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32542283340 = 22325728519059
BaseRepresentation
bin11110010011101010…
…111101011001001100
310002222221001021111100
4132103222331121030
51013121311031330
622541050023100
72231266562430
oct362352753114
9102887037440
1032542283340
111288a2a8146
126382417a90
1330b7caa478
141809d449c0
15ca6e08060
hex793abd64c

32542283340 has 144 divisors (see below), whose sum is σ = 112865276160. Its totient is φ = 7434806400.

The previous prime is 32542283321. The next prime is 32542283351. The reversal of 32542283340 is 4338224523.

32542283340 is a `hidden beast` number, since 3 + 2 + 542 + 2 + 83 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32542283295 and 32542283304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3587731 + ... + 3596789.

It is an arithmetic number, because the mean of its divisors is an integer number (783786640).

Almost surely, 232542283340 is an apocalyptic number.

32542283340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32542283340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56432638080).

32542283340 is an abundant number, since it is smaller than the sum of its proper divisors (80322992820).

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

32542283340 is a wasteful number, since it uses less digits than its factorization.

32542283340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 32542283340 in words is "thirty-two billion, five hundred forty-two million, two hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2851 5702 8553 9059 11404 14255 17106 18118 19957 25659 27177 28510 34212 36236 39914 42765 45295 51318 54354 57020 59871 63413 79828 81531 85530 90590 99785 102636 108708 119742 126826 128295 135885 163062 171060 179613 181180 190239 199570 239484 253652 256590 271770 299355 317065 326124 359226 380478 399140 407655 513180 543540 570717 598710 634130 718452 760956 815310 898065 951195 1141434 1197420 1268260 1630620 1796130 1902390 2282868 2853585 3592260 3804780 5707170 11414340 25827209 51654418 77481627 103308836 129136045 154963254 180790463 232444881 258272090 309926508 361580926 387408135 464889762 516544180 542371389 723161852 774816270 903952315 929779524 1084742778 1162224405 1549632540 1627114167 1807904630 2169485556 2324448810 2711856945 3254228334 3615809260 4648897620 5423713890 6508456668 8135570835 10847427780 16271141670 32542283340