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1005460421677 is a prime number
BaseRepresentation
bin11101010000110100001…
…11000111110000101101
310120010021021011120211221
432220122013013300231
5112433140331443202
62045522510143341
7132433150366525
oct16503207076055
93503237146757
101005460421677
11358460217588
12142a467b1b51
1373a7863289a
143694371a685
151b24ad19037
hexea1a1c7c2d

1005460421677 has 2 divisors, whose sum is σ = 1005460421678. Its totient is φ = 1005460421676.

The previous prime is 1005460421657. The next prime is 1005460421687. The reversal of 1005460421677 is 7761240645001.

1005460421677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 827337595561 + 178122826116 = 909581^2 + 422046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005460421677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005460421617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502730210838 + 502730210839.

It is an arithmetic number, because the mean of its divisors is an integer number (502730210839).

Almost surely, 21005460421677 is an apocalyptic number.

It is an amenable number.

1005460421677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005460421677 is an equidigital number, since it uses as much as digits as its factorization.

1005460421677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 1005460421677 in words is "one trillion, five billion, four hundred sixty million, four hundred twenty-one thousand, six hundred seventy-seven".