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5768766688 = 253113034463
BaseRepresentation
bin1010101111101100…
…00110010011100000
3112220000221201012111
411113312012103200
543303301013223
62352232405104
7262645464526
oct52766062340
915800851174
105768766688
1124a0355883
12114bb46794
1370c1c7319
143ca21a316
1523b6ae30d
hex157d864e0

5768766688 has 48 divisors (see below), whose sum is σ = 11735248896. Its totient is φ = 2788571520.

The previous prime is 5768766683. The next prime is 5768766701. The reversal of 5768766688 is 8866678675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768766683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290345 + ... + 1294807.

It is an arithmetic number, because the mean of its divisors is an integer number (244484352).

Almost surely, 25768766688 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 5768766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867624448).

5768766688 is an abundant number, since it is smaller than the sum of its proper divisors (5966482208).

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

5768766688 is a wasteful number, since it uses less digits than its factorization.

5768766688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5799 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 67.

The square root of 5768766688 is about 75952.3975131793. The cubic root of 5768766688 is about 1793.4708607173.

The spelling of 5768766688 in words is "five billion, seven hundred sixty-eight million, seven hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1303 2606 4463 5212 8926 10424 17852 20848 35704 40393 41696 71408 80786 138353 142816 161572 276706 323144 553412 646288 1106824 1292576 2213648 4427296 5815289 11630578 23261156 46522312 93044624 180273959 186089248 360547918 721095836 1442191672 2884383344 5768766688