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10812156397488 = 2433432531272011
BaseRepresentation
bin1001110101010110011010…
…1111011100011110110000
31102021122001202202222012000
42131111212233130132300
52404121244014204423
634555011443134000
72164103212666365
oct235254657343660
942248052688160
1010812156397488
113499456461106
121267575374300
136057747984b4
1429544db8446c
1513b3b059a843
hex9d566bdc7b0

10812156397488 has 480 divisors, whose sum is σ = 32644047790080. Its totient is φ = 3424918049280.

The previous prime is 10812156397457. The next prime is 10812156397571. The reversal of 10812156397488 is 88479365121801.

10812156397488 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 1 + 5 + 63 + 97 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5376506403 + ... + 5376508413.

It is an arithmetic number, because the mean of its divisors is an integer number (68008432896).

It is a 1-persistent number, because it is pandigital, but 2⋅10812156397488 = 21624312794976 is not.

Almost surely, 210812156397488 is an apocalyptic number.

10812156397488 is a gapful number since it is divisible by the number (18) 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 10812156397488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322023895040).

10812156397488 is an abundant number, since it is smaller than the sum of its proper divisors (21831891392592).

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

10812156397488 is a wasteful number, since it uses less digits than its factorization.

10812156397488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 10812156397488 in words is "ten trillion, eight hundred twelve billion, one hundred fifty-six million, three hundred ninety-seven thousand, four hundred eighty-eight".