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82140273330 = 2354723733323
BaseRepresentation
bin100110001111111110…
…0010001101010110010
321212000111102020001120
41030133330101222302
52321210402221310
6101422411043110
75635340542353
oct1143774215262
9255014366046
1082140273330
1131921052115
1213b04740496
137990683a3b
143d93109d2a
15220b33db70
hex131ff11ab2

82140273330 has 96 divisors (see below), whose sum is σ = 202021072704. Its totient is φ = 21374120064.

The previous prime is 82140273329. The next prime is 82140273331. The reversal of 82140273330 is 3337204128.

It is an interprime number because it is at equal distance from previous prime (82140273329) and next prime (82140273331).

It is a junction number, because it is equal to n+sod(n) for n = 82140273291 and 82140273300.

It is not an unprimeable number, because it can be changed into a prime (82140273331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24717049 + ... + 24720371.

It is an arithmetic number, because the mean of its divisors is an integer number (2104386174).

Almost surely, 282140273330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82140273330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101010536352).

82140273330 is an abundant number, since it is smaller than the sum of its proper divisors (119880799374).

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

82140273330 is a wasteful number, since it uses less digits than its factorization.

82140273330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 82140273330 its reverse (3337204128), we get a palindrome (85477477458).

The spelling of 82140273330 in words is "eighty-two billion, one hundred forty million, two hundred seventy-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 373 470 705 746 1119 1410 1865 2209 2238 3323 3730 4418 5595 6627 6646 9969 11045 11190 13254 16615 17531 19938 22090 33135 33230 35062 49845 52593 66270 87655 99690 105186 156181 175310 262965 312362 468543 525930 780905 823957 937086 1239479 1561810 1647914 2342715 2471871 2478958 3718437 4119785 4685430 4943742 6197395 7340507 7436874 8239570 12359355 12394790 14681014 18592185 22021521 24718710 36702535 37184370 44043042 58255513 73405070 110107605 116511026 174766539 220215210 291277565 349533078 582555130 873832695 1747665390 2738009111 5476018222 8214027333 13690045555 16428054666 27380091110 41070136665 82140273330