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82424818248 = 23329289740879
BaseRepresentation
bin100110011000011100…
…1101110101001001000
321212202022211121022020
41030300321232221020
52322301223140443
6101510533524440
75645364252363
oct1146071565110
9255668747266
1082424818248
1131a5772aa03
1213b83aa3720
137a07600006
143dbcc190da
1522262e8583
hex1330e6ea48

82424818248 has 64 divisors (see below), whose sum is σ = 213246432000. Its totient is φ = 26517722112.

The previous prime is 82424818247. The next prime is 82424818283. The reversal of 82424818248 is 84281842428.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82424818248.

It is not an unprimeable number, because it can be changed into a prime (82424818247) 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, 1995873 + ... + 2036751.

It is an arithmetic number, because the mean of its divisors is an integer number (3331975500).

Almost surely, 282424818248 is an apocalyptic number.

It is an amenable number.

82424818248 is an abundant number, since it is smaller than the sum of its proper divisors (130821613752).

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

82424818248 is a wasteful number, since it uses less digits than its factorization.

82424818248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43814 (or 43810 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 51.

The spelling of 82424818248 in words is "eighty-two billion, four hundred twenty-four million, eight hundred eighteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 2897 5794 8691 11588 17382 23176 34764 40879 69528 81758 84013 122637 163516 168026 245274 252039 327032 336052 490548 504078 672104 981096 1008156 1185491 2016312 2370982 3556473 4741964 7112946 9483928 14225892 28451784 118426463 236852926 355279389 473705852 710558778 947411704 1421117556 2842235112 3434367427 6868734854 10303102281 13737469708 20606204562 27474939416 41212409124 82424818248