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82126107360 = 25365113232
BaseRepresentation
bin100110001111100011…
…0001111001011100000
321211222111202112000000
41030133012033023200
52321143240413420
6101421143300000
75635106252223
oct1143706171340
9254874675000
1082126107360
1131914057000
1213abba4a600
13798a763bcb
143d9129d5ba
152209e91690
hex131f18f2e0

82126107360 has 1008 divisors, whose sum is σ = 334486173168. Its totient is φ = 19043735040.

The previous prime is 82126107353. The next prime is 82126107361. The reversal of 82126107360 is 6370162128.

82126107360 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 610 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82126107361) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3570700309 + ... + 3570700331.

It is an arithmetic number, because the mean of its divisors is an integer number (331831521).

Almost surely, 282126107360 is an apocalyptic number.

82126107360 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 82126107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167243086584).

82126107360 is an abundant number, since it is smaller than the sum of its proper divisors (252360065808).

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

82126107360 is an equidigital number, since it uses as much as digits as its factorization.

82126107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 82126107360 its reverse (6370162128), we get a palindrome (88496269488).

The spelling of 82126107360 in words is "eighty-two billion, one hundred twenty-six million, one hundred seven thousand, three hundred sixty".