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563501141640 = 2332597151106867
BaseRepresentation
bin10000011001100110100…
…10010000111010001000
31222212111100210221102100
420030303102100322020
533213022243013030
61110511401033400
755466040450153
oct10146322207210
91885440727370
10563501141640
111a7a85782048
1291263485860
13411a40540b8
141d3b8a90c9a
15e9d091b360
hex8333490e88

563501141640 has 192 divisors, whose sum is σ = 1862529701760. Its totient is φ = 147731558400.

The previous prime is 563501141639. The next prime is 563501141657. The reversal of 563501141640 is 46141105365.

563501141640 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 0 + 1 + 1 + 4 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 563501141595 and 563501141604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5219487 + ... + 5326353.

It is an arithmetic number, because the mean of its divisors is an integer number (9700675530).

Almost surely, 2563501141640 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 563501141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931264850880).

563501141640 is an abundant number, since it is smaller than the sum of its proper divisors (1299028560120).

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

563501141640 is a wasteful number, since it uses less digits than its factorization.

563501141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107132 (or 107125 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 563501141640 in words is "five hundred sixty-three billion, five hundred one million, one hundred forty-one thousand, six hundred forty".