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5972297760 = 25325111322397
BaseRepresentation
bin1011000111111101…
…00000100000100000
3120102012221011100100
411203332200200200
544212402012020
62424343022400
7300666456552
oct54376404040
916365834310
105972297760
11259522a780
1211a813aa00
13742419900
1440927b4d2
1524e4b4a90
hex163fa0820

5972297760 has 864 divisors, whose sum is σ = 25380770688. Its totient is φ = 1265172480.

The previous prime is 5972297731. The next prime is 5972297767. The reversal of 5972297760 is 677922795.

It is a junction number, because it is equal to n+sod(n) for n = 5972297697 and 5972297706.

It is not an unprimeable number, because it can be changed into a prime (5972297767) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 61570032 + ... + 61570128.

It is an arithmetic number, because the mean of its divisors is an integer number (29375892).

Almost surely, 25972297760 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 5972297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690385344).

5972297760 is an abundant number, since it is smaller than the sum of its proper divisors (19408472928).

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

5972297760 is a wasteful number, since it uses less digits than its factorization.

5972297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 5972297760 is about 77280.6428544691. The cubic root of 5972297760 is about 1814.3197049748.

The spelling of 5972297760 in words is "five billion, nine hundred seventy-two million, two hundred ninety-seven thousand, seven hundred sixty".