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64282740480 = 283457233851
BaseRepresentation
bin111011110111100011…
…001100011100000000
320010220222022120020000
4323313203030130000
52023122340143410
645310414120000
74433662164360
oct736743143400
9203828276200
1064282740480
1125297a27402
12105601b0000
1360a5b1575a
14317b5a69a0
151a13727dc0
hexef78cc700

64282740480 has 720 divisors, whose sum is σ = 274375309824. Its totient is φ = 14050713600.

The previous prime is 64282740443. The next prime is 64282740491. The reversal of 64282740480 is 8404728246.

64282740480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16690555 + ... + 16694405.

Almost surely, 264282740480 is an apocalyptic number.

64282740480 is a gapful number since it is divisible by the number (60) 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 64282740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137187654912).

64282740480 is an abundant number, since it is smaller than the sum of its proper divisors (210092569344).

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

64282740480 is a wasteful number, since it uses less digits than its factorization.

64282740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 64282740480 in words is "sixty-four billion, two hundred eighty-two million, seven hundred forty thousand, four hundred eighty".