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32666136540 = 22353119499011
BaseRepresentation
bin11110011011000011…
…011010111111011100
310010022120002200010220
4132123003122333130
51013400012332130
623001232401340
72234332402452
oct363303327734
9103276080126
1032666136540
1112943200964
1263b79a6250
13310785319b
14181c5849d2
15cb2c20410
hex79b0dafdc

32666136540 has 96 divisors (see below), whose sum is σ = 94474598400. Its totient is φ = 8424710400.

The previous prime is 32666136533. The next prime is 32666136541. The reversal of 32666136540 is 4563166623.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32666136492 and 32666136501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32666136541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620635 + ... + 3629645.

It is an arithmetic number, because the mean of its divisors is an integer number (984110400).

Almost surely, 232666136540 is an apocalyptic number.

32666136540 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 32666136540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47237299200).

32666136540 is an abundant number, since it is smaller than the sum of its proper divisors (61808461860).

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

32666136540 is a wasteful number, since it uses less digits than its factorization.

32666136540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 32666136540 in words is "thirty-two billion, six hundred sixty-six million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1949 3898 5847 7796 9011 9745 11694 18022 19490 23388 27033 29235 36044 38980 45055 54066 58470 60419 90110 108132 116940 120838 135165 180220 181257 241676 270330 279341 302095 362514 540660 558682 604190 725028 838023 906285 1117364 1208380 1396705 1676046 1812570 2793410 3352092 3625140 4190115 5586820 8380230 16760460 17562439 35124878 52687317 70249756 87812195 105374634 175624390 210749268 263436585 351248780 526873170 544435609 1053746340 1088871218 1633306827 2177742436 2722178045 3266613654 5444356090 6533227308 8166534135 10888712180 16333068270 32666136540