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5756646720 = 2635113471571
BaseRepresentation
bin1010101110001111…
…10111010101000000
3112212012010221201210
411113013313111000
543242200143340
62351120530120
7262440455406
oct52707672500
915765127653
105756646720
112494527980
121147a80940
13709842846
143c8783476
1523a5b8180
hex1571f7540

5756646720 has 224 divisors, whose sum is σ = 20009120256. Its totient is φ = 1390643200.

The previous prime is 5756646719. The next prime is 5756646751. The reversal of 5756646720 is 276466575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5756646720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3663535 + ... + 3665105.

Almost surely, 25756646720 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 5756646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004560128).

5756646720 is an abundant number, since it is smaller than the sum of its proper divisors (14252473536).

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

5756646720 is a wasteful number, since it uses less digits than its factorization.

5756646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 5756646720 is about 75872.5689561122. The cubic root of 5756646720 is about 1792.2139745024.

The spelling of 5756646720 in words is "five billion, seven hundred fifty-six million, six hundred forty-six thousand, seven hundred twenty".