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1683755460661 is a prime number
BaseRepresentation
bin11000100000000111101…
…001010110100000110101
312221222001210221201111211
4120200013221112200311
5210041312344220121
63325301231001421
7232435013162401
oct30400751264065
95858053851454
101683755460661
1159a09307576a
122323a6369271
13c2a150cc511
145b6cc122101
152dbe9621ce1
hex18807a56835

1683755460661 has 2 divisors, whose sum is σ = 1683755460662. Its totient is φ = 1683755460660.

The previous prime is 1683755460577. The next prime is 1683755460707. The reversal of 1683755460661 is 1660645573861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1197479358436 + 486276102225 = 1094294^2 + 697335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1683755460661 - 27 = 1683755460533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1683755460596 and 1683755460605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1683755463661) 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 as a sum of consecutive naturals, namely, 841877730330 + 841877730331.

It is an arithmetic number, because the mean of its divisors is an integer number (841877730331).

Almost surely, 21683755460661 is an apocalyptic number.

It is an amenable number.

1683755460661 is a deficient number, since it is larger than the sum of its proper divisors (1).

1683755460661 is an equidigital number, since it uses as much as digits as its factorization.

1683755460661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 1683755460661 in words is "one trillion, six hundred eighty-three billion, seven hundred fifty-five million, four hundred sixty thousand, six hundred sixty-one".