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1663457067441 = 321314217581773
BaseRepresentation
bin11000001101001101110…
…001001000000110110001
312220000200011221111201100
4120031031301020012301
5204223230002124231
63312103121555013
7231116005530411
oct30151561100661
95800604844640
101663457067441
1159151716a484
1222a4804a5a69
13c0b2b96a260
145a724364641
152d40c5b31e6
hex1834dc481b1

1663457067441 has 12 divisors (see below), whose sum is σ = 2587599882868. Its totient is φ = 1023665887584.

The previous prime is 1663457067439. The next prime is 1663457067463. The reversal of 1663457067441 is 1447607543661.

1663457067441 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 4 + 570 + 67 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 277960928400 + 1385496139041 = 527220^2 + 1177071^2 .

It is not a de Polignac number, because 1663457067441 - 21 = 1663457067439 is a prime.

It is a super-3 number, since 3×16634570674413 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1663457065441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7108790770 + ... + 7108791003.

Almost surely, 21663457067441 is an apocalyptic number.

It is an amenable number.

1663457067441 is a deficient number, since it is larger than the sum of its proper divisors (924142815427).

1663457067441 is a wasteful number, since it uses less digits than its factorization.

1663457067441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217581792 (or 14217581789 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1663457067441 in words is "one trillion, six hundred sixty-three billion, four hundred fifty-seven million, sixty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 14217581773 42652745319 127958235957 184828563049 554485689147 1663457067441