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32684771340 = 223251372719213
BaseRepresentation
bin11110011100001010…
…100000100000001100
310010100212011102021200
4132130022200200030
51013414300140330
623003140025500
72234646654354
oct363412404014
9103325142250
1032684771340
1112952779521
126402092290
13310b6790b0
141820c35b64
15cb46a1a60
hex79c2a080c

32684771340 has 144 divisors (see below), whose sum is σ = 106922682048. Its totient is φ = 8033997312.

The previous prime is 32684771333. The next prime is 32684771351. The reversal of 32684771340 is 4317748623.

32684771340 is a `hidden beast` number, since 3 + 268 + 47 + 7 + 1 + 340 = 666.

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

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, 1691574 + ... + 1710786.

Almost surely, 232684771340 is an apocalyptic number.

32684771340 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 32684771340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53461341024).

32684771340 is an abundant number, since it is smaller than the sum of its proper divisors (74237910708).

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

32684771340 is a wasteful number, since it uses less digits than its factorization.

32684771340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968 (or 19963 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 32684771340 in words is "thirty-two billion, six hundred eighty-four million, seven hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 727 780 1170 1454 2181 2340 2908 3635 4362 6543 7270 8724 9451 10905 13086 14540 18902 19213 21810 26172 28353 32715 37804 38426 43620 47255 56706 57639 65430 76852 85059 94510 96065 113412 115278 130860 141765 170118 172917 189020 192130 230556 249769 283530 288195 340236 345834 384260 425295 499538 567060 576390 691668 749307 850590 864585 999076 1152780 1248845 1498614 1701180 1729170 2247921 2497690 2997228 3458340 3746535 4495842 4995380 7493070 8991684 11239605 13967851 14986140 22479210 27935702 41903553 44958420 55871404 69839255 83807106 125710659 139678510 167614212 181582063 209517765 251421318 279357020 363164126 419035530 502842636 544746189 628553295 726328252 838071060 907910315 1089492378 1257106590 1634238567 1815820630 2178984756 2514213180 2723730945 3268477134 3631641260 5447461890 6536954268 8171192835 10894923780 16342385670 32684771340