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82268390358 = 232721119283283
BaseRepresentation
bin100110010011110010…
…1000000001111010110
321212100102111020120200
41030213211000033112
52321441201442413
6101443225041330
75641454531400
oct1144745001726
9255312436520
1082268390358
11319873a8360
1213b3b626246
1379b109042b
143da6139b70
1522176e9573
hex13279403d6

82268390358 has 432 divisors, whose sum is σ = 242461791936. Its totient is φ = 19929188160.

The previous prime is 82268390329. The next prime is 82268390381. The reversal of 82268390358 is 85309386228.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 290700885 + ... + 290701167.

It is an arithmetic number, because the mean of its divisors is an integer number (561254148).

Almost surely, 282268390358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82268390358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121230895968).

82268390358 is an abundant number, since it is smaller than the sum of its proper divisors (160193401578).

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

82268390358 is a wasteful number, since it uses less digits than its factorization.

82268390358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 82268390358 in words is "eighty-two billion, two hundred sixty-eight million, three hundred ninety thousand, three hundred fifty-eight".