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5076705760 = 2557219173197
BaseRepresentation
bin1001011101001100…
…00110000111100000
3111002210201101002021
410232212012013200
540344114041020
62155431231224
7236543200300
oct45646060740
914083641067
105076705760
1121757391a5
12b98218514
1362ba07709
1436234b600
151eaa591aa
hex12e9861e0

5076705760 has 288 divisors, whose sum is σ = 14846055840. Its totient is φ = 1631121408.

The previous prime is 5076705743. The next prime is 5076705763. The reversal of 5076705760 is 675076705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076705763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25769982 + ... + 25770178.

It is an arithmetic number, because the mean of its divisors is an integer number (51548805).

Almost surely, 25076705760 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 5076705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423027920).

5076705760 is an abundant number, since it is smaller than the sum of its proper divisors (9769350080).

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

5076705760 is a wasteful number, since it uses less digits than its factorization.

5076705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 43.

The square root of 5076705760 is about 71251.0053262408. The cubic root of 5076705760 is about 1718.6759415186.

The spelling of 5076705760 in words is "five billion, seventy-six million, seven hundred five thousand, seven hundred sixty".