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82795955424 = 25372132104149
BaseRepresentation
bin100110100011100000…
…1100000010011100000
321220201012012022210120
41031013001200103200
52324031231033144
6102011432400240
75660522003100
oct1150701402340
9256635168716
1082795955424
1132128181846
1214068246080
137a66477100
144016229200
152248ba9e19
hex13470604e0

82795955424 has 216 divisors, whose sum is σ = 273769939800. Its totient is φ = 21836086272.

The previous prime is 82795955413. The next prime is 82795955441. The reversal of 82795955424 is 42455959728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742902 + ... + 847050.

It is an arithmetic number, because the mean of its divisors is an integer number (1267453425).

Almost surely, 282795955424 is an apocalyptic number.

82795955424 is a gapful number since it is divisible by the number (84) 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 82795955424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136884969900).

82795955424 is an abundant number, since it is smaller than the sum of its proper divisors (190973984376).

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

82795955424 is a wasteful number, since it uses less digits than its factorization.

82795955424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104202 (or 104174 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 60.

The spelling of 82795955424 in words is "eighty-two billion, seven hundred ninety-five million, nine hundred fifty-five thousand, four hundred twenty-four".