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179380202089 = 11213922772
BaseRepresentation
bin1010011100001111100…
…1001010101001101001
3122011000022111102100111
42213003321022221221
510414332312431324
6214223420134321
715650131363054
oct2470371125151
9564008442314
10179380202089
116a0904a1900
122a9220973a1
1313bb940651a
14897977ba9b
1549ed0c9794
hex29c3e4aa69

179380202089 has 27 divisors (see below), whose sum is σ = 199318219191. Its totient is φ = 161315249040.

The previous prime is 179380202087. The next prime is 179380202093. The reversal of 179380202089 is 980202083971.

The square root of 179380202089 is 423533.

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

179380202089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30917947225 + 148462254864 = 175835^2 + 385308^2 .

It is not a de Polignac number, because 179380202089 - 21 = 179380202087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (179380202087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 647581819 + ... + 647582095.

Almost surely, 2179380202089 is an apocalyptic number.

179380202089 is the 423533-rd square number.

179380202089 is the 211767-th centered octagonal number.

It is an amenable number.

179380202089 is a deficient number, since it is larger than the sum of its proper divisors (19938017102).

179380202089 is an frugal number, since it uses more digits than its factorization.

179380202089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 179380202089 by its sum of digits (49), we get a square (8789629902361 = 29647312).

The spelling of 179380202089 in words is "one hundred seventy-nine billion, three hundred eighty million, two hundred two thousand, eighty-nine".

Divisors: 1 11 121 139 277 1529 3047 16819 19321 33517 38503 76729 212531 423533 844019 2337841 4658863 5351917 9284209 10665331 58871087 117318641 647581957 1290505051 1482481009 16307291099 179380202089