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1320219384064 = 2872102592
BaseRepresentation
bin10011001101100011001…
…101010001100100000000
311200012201100200120211121
4103031203031101210000
5133112302130242224
62450300031122024
7164245160415100
oct23154315214400
94605640616747
101320219384064
114699a1473759
12193a4a973314
139765b085319
1447c82a5b200
152451e078be4
hex13363351900

1320219384064 has 81 divisors (see below), whose sum is σ = 3065830571307. Its totient is φ = 565753155072.

The previous prime is 1320219384049. The next prime is 1320219384097. The reversal of 1320219384064 is 4604839120231.

The square root of 1320219384064 is 1149008.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320219384064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128683767 + ... + 128694025.

Almost surely, 21320219384064 is an apocalyptic number.

1320219384064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1320219384064 is the 1149008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320219384064

1320219384064 is an abundant number, since it is smaller than the sum of its proper divisors (1745611187243).

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

1320219384064 is an frugal number, since it uses more digits than its factorization.

1320219384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20548 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 1320219384064 in words is "one trillion, three hundred twenty billion, two hundred nineteen million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 10259 12544 20518 41036 71813 82072 143626 164144 287252 328288 502691 574504 656576 1005382 1149008 1313152 2010764 2298016 2626304 4021528 4596032 8043056 9192064 16086112 18384128 32172224 64344448 105247081 128688896 210494162 420988324 736729567 841976648 1473459134 1683953296 2946918268 3367906592 5157106969 5893836536 6735813184 10314213938 11787673072 13471626368 20628427876 23575346144 26943252736 41256855752 47150692288 82513711504 94301384576 165027423008 188602769152 330054846016 660109692032 1320219384064