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2789778489169 = 748923832
BaseRepresentation
bin101000100110001011110…
…000010111111101010001
3100212200220110102001002111
4220212023300113331101
5331201431243123134
65533335002545321
7405361211620000
oct50461360277521
910780813361074
102789778489169
11986158256171
12390817208241
131730c8977289
14990514b0c37
154c87dc58c64
hex2898bc17f51

2789778489169 has 45 divisors (see below), whose sum is σ = 3300143250203. Its totient is φ = 2358197562336.

The previous prime is 2789778489149. The next prime is 2789778489191. The reversal of 2789778489169 is 9619848779872.

The square root of 2789778489169 is 1670263.

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

2789778489169 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., 535696639569 + 2254081849600 = 731913^2 + 1501360^2 .

It is not a de Polignac number, because 2789778489169 - 27 = 2789778489041 is a prime.

It is a super-2 number, since 2×27897784891692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (6145155072) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (2789778489149) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7284016752 + ... + 7284017134.

Almost surely, 22789778489169 is an apocalyptic number.

2789778489169 is the 1670263-rd square number.

2789778489169 is the 835132-nd centered octagonal number.

It is an amenable number.

2789778489169 is a deficient number, since it is larger than the sum of its proper divisors (510364761034).

2789778489169 is an frugal number, since it uses more digits than its factorization.

2789778489169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 479 counting only the distinct ones).

The product of its digits is 6145155072, while the sum is 85.

The spelling of 2789778489169 in words is "two trillion, seven hundred eighty-nine billion, seven hundred seventy-eight million, four hundred eighty-nine thousand, one hundred sixty-nine".

Divisors: 1 7 49 89 343 383 623 2401 2681 4361 7921 18767 30527 34087 55447 131369 146689 213689 238609 388129 919583 1026823 1670263 2716903 3033743 7187761 11691841 13055321 19018321 21236201 50314327 81842887 91387247 148653407 352200289 639710729 1040573849 1161923569 4477975103 7284016943 8133464983 31345825721 56934254881 398539784167 2789778489169