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5360348528640 = 21532572367337
BaseRepresentation
bin100111000000000110110…
…1010111000000000000000
3200222102222220110001022200
41032000031222320000000
51200310443210404030
615222302104033200
71062162301500630
oct116001552700000
920872886401280
105360348528640
111787347000616
12726a55a62800
132cb62b90c601
141476297846c0
159467d02ad60
hex4e00dab8000

5360348528640 has 1536 divisors, whose sum is σ = 22557696445440. Its totient is φ = 1151034458112.

The previous prime is 5360348528629. The next prime is 5360348528651. The reversal of 5360348528640 is 468258430635.

5360348528640 is a `hidden beast` number, since 5 + 3 + 603 + 4 + 8 + 5 + 28 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5360348528629) and next prime (5360348528651).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15906078552 + ... + 15906078888.

It is an arithmetic number, because the mean of its divisors is an integer number (14686000290).

Almost surely, 25360348528640 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 5360348528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278848222720).

5360348528640 is an abundant number, since it is smaller than the sum of its proper divisors (17197347916800).

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

5360348528640 is a wasteful number, since it uses less digits than its factorization.

5360348528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5360348528640 in words is "five trillion, three hundred sixty billion, three hundred forty-eight million, five hundred twenty-eight thousand, six hundred forty".