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82181588032 = 262836477013
BaseRepresentation
bin100110010001001100…
…1111000010001000000
321212010101011020011201
41030202121320101000
52321301441304112
6101430444350544
75636351654365
oct1144231702100
9255111136151
1082181588032
11319424004a5
1213b16545454
1379990baacb
143d987c246c
15220eca0257
hex1322678440

82181588032 has 56 divisors (see below), whose sum is σ = 163931656896. Its totient is φ = 40876482048.

The previous prime is 82181588009. The next prime is 82181588081. The reversal of 82181588032 is 23088518128.

It is a super-2 number, since 2×821815880322 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11714958 + ... + 11721970.

It is an arithmetic number, because the mean of its divisors is an integer number (2927351016).

Almost surely, 282181588032 is an apocalyptic number.

It is an amenable number.

82181588032 is a deficient number, since it is larger than the sum of its proper divisors (81750068864).

82181588032 is a wasteful number, since it uses less digits than its factorization.

82181588032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 46.

The spelling of 82181588032 in words is "eighty-two billion, one hundred eighty-one million, five hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 283 566 647 1132 1294 2264 2588 4528 5176 7013 9056 10352 14026 18112 20704 28052 41408 56104 112208 183101 224416 366202 448832 732404 1464808 1984679 2929616 3969358 4537411 5859232 7938716 9074822 11718464 15877432 18149644 31754864 36299288 63509728 72598576 127019456 145197152 290394304 1284087313 2568174626 5136349252 10272698504 20545397008 41090794016 82181588032