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1663705283409 = 32132330732
BaseRepresentation
bin11000001101011100100…
…011111111101101010001
312220001022111000012000100
4120031130203333231101
5204224232023032114
63312143510043013
7231125111402211
oct30153443775521
95801274005010
101663705283409
11591634294844
1222a52b649469
13c0b6b206900
145a7492d8241
152d424293909
hex1835c8ffb51

1663705283409 has 27 divisors (see below), whose sum is σ = 2602284382737. Its totient is φ = 1023787679616.

The previous prime is 1663705283389. The next prime is 1663705283417. The reversal of 1663705283409 is 9043825073661.

The square root of 1663705283409 is 1289847.

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

1663705283409 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 70 + 528 + 3 + 40 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275785673409 + 1387919610000 = 525153^2 + 1178100^2 .

It is not a de Polignac number, because 1663705283409 - 211 = 1663705281361 is a prime.

It is a super-2 number, since 2×16637052834092 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1663705283809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50287497 + ... + 50320569.

It is a 1-persistent number, because it is pandigital, but 2⋅1663705283409 = 3327410566818 is not.

Almost surely, 21663705283409 is an apocalyptic number.

1663705283409 is the 1289847-th square number.

1663705283409 is the 644924-th centered octagonal number.

It is an amenable number.

1663705283409 is a deficient number, since it is larger than the sum of its proper divisors (938579099328).

1663705283409 is an frugal number, since it uses more digits than its factorization.

1663705283409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66178 (or 33089 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1663705283409 in words is "one trillion, six hundred sixty-three billion, seven hundred five million, two hundred eighty-three thousand, four hundred nine".

Divisors: 1 3 9 13 39 117 169 507 1521 33073 99219 297657 429949 1289847 3869541 5589337 16768011 50304033 1093823329 3281469987 9844409961 14219703277 42659109831 127977329493 184856142601 554568427803 1663705283409