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82390000000 = 2757711107
BaseRepresentation
bin100110010111011010…
…0111010000110000000
321212122220022122122111
41030232310322012000
52322213320000000
6101503251345104
75644462305430
oct1145664720600
9255586278574
1082390000000
1131a3a0094a0
1213b742b2194
137a0032bbb9
143db83542c0
15222321bcba
hex132ed3a180

82390000000 has 512 divisors, whose sum is σ = 258186839040. Its totient is φ = 25440000000.

The previous prime is 82389999983. The next prime is 82390000003. The reversal of 82390000000 is 9328.

It is a super-2 number, since 2×823900000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82390000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769999947 + ... + 770000053.

It is an arithmetic number, because the mean of its divisors is an integer number (504271170).

Almost surely, 282390000000 is an apocalyptic number.

82390000000 is a gapful number since it is divisible by the number (80) 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 82390000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129093419520).

82390000000 is an abundant number, since it is smaller than the sum of its proper divisors (175796839040).

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

82390000000 is an frugal number, since it uses more digits than its factorization.

82390000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 82390000000 its reverse (9328), we get a palindrome (82390009328).

The spelling of 82390000000 in words is "eighty-two billion, three hundred ninety million", and thus it is an aban number.