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5756659680 = 2535174391607
BaseRepresentation
bin1010101110001111…
…11010011111100000
3112212012011121111210
411113013322133200
543242201102210
62351121110120
7262440541242
oct52707723740
915765147453
105756659680
112494536692
121147a88340
13709848705
143c8788092
1523a5bbe20
hex1571fa7e0

5756659680 has 192 divisors, whose sum is σ = 19255864320. Its totient is φ = 1440620544.

The previous prime is 5756659637. The next prime is 5756659681. The reversal of 5756659680 is 869566575.

It is a self number, because there is not a number n which added to its sum of digits gives 5756659680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756659681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3581437 + ... + 3583043.

It is an arithmetic number, because the mean of its divisors is an integer number (100290960).

Almost surely, 25756659680 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 5756659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9627932160).

5756659680 is an abundant number, since it is smaller than the sum of its proper divisors (13499204640).

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

5756659680 is a wasteful number, since it uses less digits than its factorization.

5756659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The square root of 5756659680 is about 75872.6543624249. The cubic root of 5756659680 is about 1792.2153194449.

The spelling of 5756659680 in words is "five billion, seven hundred fifty-six million, six hundred fifty-nine thousand, six hundred eighty".