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1663358322825 = 325217434864921
BaseRepresentation
bin11000001101000111111…
…000011100100010001001
312220000102022010202120100
4120031013320130202021
5204223024212312300
63312045233320013
7231113366314263
oct30150770344211
95800368122510
101663358322825
11591476456161
1222a453406009
13c0b14375ca4
145a7151bcb33
152d403aaa700
hex18347e1c889

1663358322825 has 36 divisors (see below), whose sum is σ = 3154510144188. Its totient is φ = 834940646400.

The previous prime is 1663358322803. The next prime is 1663358322833. The reversal of 1663358322825 is 5282238533661.

1663358322825 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 358 + 3 + 2 + 282 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19290709881 + 1644067612944 = 138891^2 + 1282212^2 .

It is not a de Polignac number, because 1663358322825 - 29 = 1663358322313 is a prime.

It is a super-4 number, since 4×16633583228254 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217428636 + ... + 217436285.

It is an arithmetic number, because the mean of its divisors is an integer number (87625281783).

Almost surely, 21663358322825 is an apocalyptic number.

1663358322825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1663358322825 is a deficient number, since it is larger than the sum of its proper divisors (1491151821363).

1663358322825 is a wasteful number, since it uses less digits than its factorization.

1663358322825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434864954 (or 434864946 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 1663358322825 in words is "one trillion, six hundred sixty-three billion, three hundred fifty-eight million, three hundred twenty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 434864921 1304594763 2174324605 3913784289 6522973815 7392703657 10871623025 19568921445 22178110971 32614869075 36963518285 66534332913 97844607225 110890554855 184817591425 332671664565 554452774275 1663358322825