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2328130318464 = 273319412713191
BaseRepresentation
bin100001111000001111011…
…000010111000010000000
322020120022101221010012000
4201320033120113002000
5301121002330142324
64541310040304000
7330126145122606
oct41701730270200
98216271833160
102328130318464
11818399963765
1231725a172000
1313b7072ab422
14809799c5876
15408600959c9
hex21e0f617080

2328130318464 has 512 divisors, whose sum is σ = 7438943232000. Its totient is φ = 714396672000.

The previous prime is 2328130318411. The next prime is 2328130318499. The reversal of 2328130318464 is 4648130318232.

2328130318464 is a `hidden beast` number, since 2 + 3 + 28 + 130 + 31 + 8 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729591109 + ... + 729594299.

It is an arithmetic number, because the mean of its divisors is an integer number (14529186000).

Almost surely, 22328130318464 is an apocalyptic number.

2328130318464 is a gapful number since it is divisible by the number (24) 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 2328130318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719471616000).

2328130318464 is an abundant number, since it is smaller than the sum of its proper divisors (5110812913536).

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

2328130318464 is a wasteful number, since it uses less digits than its factorization.

2328130318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2328130318464 in words is "two trillion, three hundred twenty-eight billion, one hundred thirty million, three hundred eighteen thousand, four hundred sixty-four".