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56356265140561 = 172179224672
BaseRepresentation
bin11001101000001011101110…
…01010100010000101010001
321101112121101000102010120001
430310011313022202011101
524341320112333444221
6315505413310450001
714604414533600431
oct1464056712420521
9241477330363501
1056356265140561
1116a58615515701
1263a227b203901
13255a4b0631149
14dcb92cd762c1
1567ae50ba9391
hex3341772a2151

56356265140561 has 27 divisors (see below), whose sum is σ = 60227074294779. Its totient is φ = 52723491052608.

The previous prime is 56356265140541. The next prime is 56356265140577. The reversal of 56356265140561 is 16504156265365.

The square root of 56356265140561 is 7507081.

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., 43875984971025 + 12480280169536 = 6623895^2 + 3532744^2 .

It is not a de Polignac number, because 56356265140561 - 25 = 56356265140529 is a prime.

It is a super-3 number, since 3×563562651405613 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56356265140541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22844046250 + ... + 22844048716.

Almost surely, 256356265140561 is an apocalyptic number.

56356265140561 is the 7507081-st square number.

56356265140561 is the 3753541-st centered octagonal number.

It is an amenable number.

56356265140561 is a deficient number, since it is larger than the sum of its proper divisors (3870809154218).

56356265140561 is an frugal number, since it uses more digits than its factorization.

56356265140561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 55.

The spelling of 56356265140561 in words is "fifty-six trillion, three hundred fifty-six billion, two hundred sixty-five million, one hundred forty thousand, five hundred sixty-one".

Divisors: 1 17 179 289 2467 3043 32041 41939 51731 441593 544697 712963 6086089 7507081 9259849 79045147 103463513 127620377 1089409931 1343767499 1758879721 18519968827 22844047483 195004377649 314839470059 3315074420033 56356265140561