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82022839008 = 25311538317657
BaseRepresentation
bin100110001100011110…
…0010011001011100000
321211201022102221110020
41030120330103023200
52320440321322013
6101403014033440
75632413425265
oct1143074231340
9254638387406
1082022839008
1131870832a60
1213a91348880
137972247886
143d8169b26c
152200d93623
hex1318f132e0

82022839008 has 192 divisors, whose sum is σ = 242212384512. Its totient is φ = 24091258880.

The previous prime is 82022839001. The next prime is 82022839027. The reversal of 82022839008 is 80093822028.

It is a super-2 number, since 2×820228390082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82022839001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4636516 + ... + 4654172.

It is an arithmetic number, because the mean of its divisors is an integer number (1261522836).

Almost surely, 282022839008 is an apocalyptic number.

82022839008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82022839008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121106192256).

82022839008 is an abundant number, since it is smaller than the sum of its proper divisors (160189545504).

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

82022839008 is a wasteful number, since it uses less digits than its factorization.

82022839008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17817 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 82022839008 in words is "eighty-two billion, twenty-two million, eight hundred thirty-nine thousand, eight".