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10522820483808 = 2531729229970909
BaseRepresentation
bin1001100100100000100011…
…1110100001101011100000
31101020222020110012122201220
42121020020332201223200
52334401214020440213
634214041134255040
72134151205211503
oct231101076415340
941228213178656
1010522820483808
113397780919796
12121b487357480
135b43b4100849
1428544307113a
15133ac9225e23
hex99208fa1ae0

10522820483808 has 192 divisors, whose sum is σ = 30387929544000. Its totient is φ = 3173517656064.

The previous prime is 10522820483807. The next prime is 10522820483843. The reversal of 10522820483808 is 80838402822501.

It is a happy number.

It is a super-2 number, since 2×105228204838082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522820483803) 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, 10352658 + ... + 11323566.

It is an arithmetic number, because the mean of its divisors is an integer number (158270466375).

Almost surely, 210522820483808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10522820483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193964772000).

10522820483808 is an abundant number, since it is smaller than the sum of its proper divisors (19865109060192).

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

10522820483808 is a wasteful number, since it uses less digits than its factorization.

10522820483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971197 (or 971189 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 10522820483808 in words is "ten trillion, five hundred twenty-two billion, eight hundred twenty million, four hundred eighty-three thousand, eight hundred eight".