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82624288006 = 21340114815351
BaseRepresentation
bin100110011110011001…
…0101001010100000110
321220021020011201101001
41030330302221110012
52323203304204011
6101542421123514
75653335601021
oct1147462512406
9256236151331
1082624288006
113204a290547
121401a85959a
137a39a2cb60
143ddb5001b8
152238a9a7c1
hex133cca9506

82624288006 has 32 divisors (see below), whose sum is σ = 133918214976. Its totient is φ = 38006400000.

The previous prime is 82624287997. The next prime is 82624288007. The reversal of 82624288006 is 60088242628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82624288007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15438231 + ... + 15443581.

It is an arithmetic number, because the mean of its divisors is an integer number (4184944218).

Almost surely, 282624288006 is an apocalyptic number.

82624288006 is a deficient number, since it is larger than the sum of its proper divisors (51293926970).

82624288006 is a wasteful number, since it uses less digits than its factorization.

82624288006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248.

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 82624288006 in words is "eighty-two billion, six hundred twenty-four million, two hundred eighty-eight thousand, six".

Divisors: 1 2 13 26 401 802 1481 2962 5213 5351 10426 10702 19253 38506 69563 139126 593881 1187762 2145751 4291502 7720453 7924831 15440906 15849662 27894763 55789526 103022803 206045606 3177857231 6355714462 41312144003 82624288006