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26738463361 = 101216192
BaseRepresentation
bin11000111001101111…
…001001001010000001
32120000110010200012211
4120321233021022001
5414230021311421
620141122022121
71634414121451
oct307157111201
976013120184
1026738463361
1110381190305
1252227a7941
1326a175c06c
141419201d61
15a676229e1
hex639bc9281

26738463361 has 9 divisors (see below), whose sum is σ = 27022512643. Its totient is φ = 26457374200.

The previous prime is 26738463341. The next prime is 26738463517. The reversal of 26738463361 is 16336483762.

The square root of 26738463361 is 163519.

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

It can be written as a sum of positive squares in only one way, i.e., 25689998961 + 1048464400 = 160281^2 + 32380^2 .

It is not a de Polignac number, because 26738463361 - 223 = 26730074753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26738463341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16514610 + ... + 16516228.

Almost surely, 226738463361 is an apocalyptic number.

26738463361 is the 163519-th square number.

26738463361 is the 81760-th centered octagonal number.

It is an amenable number.

26738463361 is a deficient number, since it is larger than the sum of its proper divisors (284049282).

26738463361 is an frugal number, since it uses more digits than its factorization.

26738463361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 1720 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

Multiplying 26738463361 by its sum of digits (49), we get a square (1310184704689 = 11446332).

The spelling of 26738463361 in words is "twenty-six billion, seven hundred thirty-eight million, four hundred sixty-three thousand, three hundred sixty-one".

Divisors: 1 101 1619 10201 163519 2621161 16515419 264737261 26738463361