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7106833728 = 263429411153
BaseRepresentation
bin1101001111001100…
…11010110101000000
3200100021202120010000
412213212122311000
5104023322134403
63133112040000
7341054042601
oct64746326500
920307676100
107106833728
113017693405
121464093000
138934a0077
144b5c09da8
152b8dbd7a3

7106833728 has 280 divisors, whose sum is σ = 22344232680. Its totient is φ = 2229534720.

The previous prime is 7106833717. The next prime is 7106833771. The reversal of 7106833728 is 8273386017.

It can be written as a sum of positive squares in 4 ways, for example, as 534164544 + 6572669184 = 23112^2 + 81072^2 .

It is a super-3 number, since 3×71068337283 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 6163200 + ... + 6164352.

It is an arithmetic number, because the mean of its divisors is an integer number (79800831).

Almost surely, 27106833728 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 7106833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172116340).

7106833728 is an abundant number, since it is smaller than the sum of its proper divisors (15237398952).

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

7106833728 is a wasteful number, since it uses less digits than its factorization.

7106833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7106833728 is about 84302.0386942095. The cubic root of 7106833728 is about 1922.6137838717.

The spelling of 7106833728 in words is "seven billion, one hundred six million, eight hundred thirty-three thousand, seven hundred twenty-eight".