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9082622016 = 263413307439
BaseRepresentation
bin10000111010101110…
…11101000001000000
3212102222120000010000
420131113131001000
5122100122401031
64101132040000
7441035004366
oct103527350100
925388500100
109082622016
1139409a3396
121915903000
13b1991ac70
146223a1636
1538259c3e6
hex21d5dd040

9082622016 has 280 divisors, whose sum is σ = 29155501760. Its totient is φ = 2779204608.

The previous prime is 9082622009. The next prime is 9082622033. The reversal of 9082622016 is 6102262809.

It is a happy number.

It is a super-3 number, since 3×90826220163 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20689125 + ... + 20689563.

It is an arithmetic number, because the mean of its divisors is an integer number (104126792).

Almost surely, 29082622016 is an apocalyptic number.

9082622016 is a gapful number since it is divisible by the number (96) 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 9082622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577750880).

9082622016 is an abundant number, since it is smaller than the sum of its proper divisors (20072879744).

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

9082622016 is a wasteful number, since it uses less digits than its factorization.

9082622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9082622016 is about 95302.7912287988. The cubic root of 9082622016 is about 2086.4296555764.

The spelling of 9082622016 in words is "nine billion, eighty-two million, six hundred twenty-two thousand, sixteen".