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5768340480 = 21034571987
BaseRepresentation
bin1010101111101000…
…11110010000000000
3112220000011001120000
411113310132100000
543303143343410
62352215320000
7262642041120
oct52764362000
915800131500
105768340480
1124a0094641
12114b980000
1370c0a8326
143ca148c80
1523b627dc0
hex157d1e400

5768340480 has 440 divisors, whose sum is σ = 23635284288. Its totient is φ = 1317814272.

The previous prime is 5768340467. The next prime is 5768340481. The reversal of 5768340480 is 840438675.

5768340480 is a `hidden beast` number, since 57 + 6 + 83 + 40 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5768340481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902047 + ... + 2904033.

Almost surely, 25768340480 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 5768340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817642144).

5768340480 is an abundant number, since it is smaller than the sum of its proper divisors (17866943808).

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

5768340480 is a wasteful number, since it uses less digits than its factorization.

5768340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5768340480 is about 75949.5917039717. The cubic root of 5768340480 is about 1793.4266912269.

The spelling of 5768340480 in words is "five billion, seven hundred sixty-eight million, three hundred forty thousand, four hundred eighty".