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5756703456 = 25373792213
BaseRepresentation
bin1010101110010000…
…00101001011100000
3112212012020211120010
411113020011023200
543242204002311
62351122044520
7262441113000
oct52710051340
915765224503
105756703456
112494566569
121147aa9740
1370986260a
143c879a000
1523a5c9da6
hex1572052e0

5756703456 has 192 divisors, whose sum is σ = 17853696000. Its totient is φ = 1623218688.

The previous prime is 5756703443. The next prime is 5756703461. The reversal of 5756703456 is 6543076575.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2600206 + ... + 2602418.

It is an arithmetic number, because the mean of its divisors is an integer number (92988000).

Almost surely, 25756703456 is an apocalyptic number.

5756703456 is a gapful number since it is divisible by the number (56) 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 5756703456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848000).

5756703456 is an abundant number, since it is smaller than the sum of its proper divisors (12096992544).

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

5756703456 is a wasteful number, since it uses less digits than its factorization.

5756703456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The square root of 5756703456 is about 75872.9428452594. The cubic root of 5756703456 is about 1792.2198623467.

The spelling of 5756703456 in words is "five billion, seven hundred fifty-six million, seven hundred three thousand, four hundred fifty-six".