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1808134719561 = 325927121072
BaseRepresentation
bin11010010011111101001…
…110100100100001001001
320101212010000110201212100
4122103331032210201021
5214111024442011221
63502351242104013
7244430156346432
oct32237516444111
96355100421770
101808134719561
11637909a02915
122525187ab009
13101677667031
146372ad04489
1532078cb5926
hex1a4fd3a4849

1808134719561 has 81 divisors (see below), whose sum is σ = 2720133287053. Its totient is φ = 1157383501680.

The previous prime is 1808134719551. The next prime is 1808134719577. The reversal of 1808134719561 is 1659174318081.

The square root of 1808134719561 is 1344669.

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

1808134719561 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 1 + 3 + 4 + 71 + 9 + 561 = 666.

It is not a de Polignac number, because 1808134719561 - 217 = 1808134588489 is a prime.

It is a super-2 number, since 2×18081347195612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1808134719498 and 1808134719507.

It is not an unprimeable number, because it can be changed into a prime (1808134719551) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16898455270 + ... + 16898455376.

Almost surely, 21808134719561 is an apocalyptic number.

1808134719561 is the 1344669-th square number.

1808134719561 is the 672335-th centered octagonal number.

It is an amenable number.

1808134719561 is a deficient number, since it is larger than the sum of its proper divisors (911998567492).

1808134719561 is an frugal number, since it uses more digits than its factorization.

1808134719561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1808134719561 in words is "one trillion, eight hundred eight billion, one hundred thirty-four million, seven hundred nineteen thousand, five hundred sixty-one".

Divisors: 1 3 9 59 71 107 177 213 321 531 639 963 3481 4189 5041 6313 7597 10443 11449 12567 15123 18939 22791 31329 34347 37701 45369 56817 68373 103041 247151 297419 372467 448223 539387 675491 741453 812879 892257 1117401 1344669 1618161 2026473 2224359 2438637 2676771 3352203 4034007 4854483 6079419 7315911 17547721 26445157 31823833 39853969 47959861 52643163 57714409 79335471 95471499 119561907 143879583 157929489 173143227 238006413 286414497 358685721 431638749 519429681 1877606147 2829631799 3405150131 5632818441 8488895397 10215450393 16898455323 25466686191 30646351179 200903857729 602711573187 1808134719561