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5690258496 = 2632131744701
BaseRepresentation
bin1010100110010101…
…00111010001000000
3112200120020002012200
411103022213101000
543123201232441
62340345553200
7261003253626
oct52312472100
915616202180
105690258496
11246000347a
1211297a5800
136c8b69c80
143bda21516
152348527b6
hex1532a7440

5690258496 has 168 divisors, whose sum is σ = 18598356504. Its totient is φ = 1647820800.

The previous prime is 5690258467. The next prime is 5690258501. The reversal of 5690258496 is 6948520965.

It is a happy number.

5690258496 is a `hidden beast` number, since 56 + 9 + 0 + 2 + 584 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 5679129600 = 3336^2 + 75360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104946 + ... + 149646.

It is an arithmetic number, because the mean of its divisors is an integer number (110704503).

Almost surely, 25690258496 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 5690258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299178252).

5690258496 is an abundant number, since it is smaller than the sum of its proper divisors (12908098008).

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

5690258496 is a wasteful number, since it uses less digits than its factorization.

5690258496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44749 (or 44736 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5690258496 is about 75433.8020783786. The cubic root of 5690258496 is about 1785.2977814525.

The spelling of 5690258496 in words is "five billion, six hundred ninety million, two hundred fifty-eight thousand, four hundred ninety-six".