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66654001681 is a prime number
BaseRepresentation
bin111110000100111000…
…110101101000010001
320101001020021010001221
4332010320311220101
52043001411023211
650342002325041
74546514444341
oct760470655021
9211036233057
1066654001681
11262a44a0003
1210b02359781
13639317b4a7
1433244a4d21
151b019c3c71
hexf84e35a11

66654001681 has 2 divisors, whose sum is σ = 66654001682. Its totient is φ = 66654001680.

The previous prime is 66654001651. The next prime is 66654001699. The reversal of 66654001681 is 18610045666.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52056529281 + 14597472400 = 228159^2 + 120820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66654001681 is a prime.

It is a super-2 number, since 2×666540016812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (66654001651) 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, 33327000840 + 33327000841.

It is an arithmetic number, because the mean of its divisors is an integer number (33327000841).

Almost surely, 266654001681 is an apocalyptic number.

It is an amenable number.

66654001681 is a deficient number, since it is larger than the sum of its proper divisors (1).

66654001681 is an equidigital number, since it uses as much as digits as its factorization.

66654001681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 66654001681 in words is "sixty-six billion, six hundred fifty-four million, one thousand, six hundred eighty-one".