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56245454265 = 35711213340541
BaseRepresentation
bin110100011000011111…
…011000010110111001
312101011211202010020210
4310120133120112321
51410142314014030
641501103141333
74030546321140
oct643037302671
9171154663223
1056245454265
1121943102300
12aa985a4849
1353c49490b0
142a17d94757
1516e2d14bb0
hexd187d85b9

56245454265 has 96 divisors (see below), whose sum is σ = 121745127168. Its totient is φ = 21576614400.

The previous prime is 56245454249. The next prime is 56245454269.

56245454265 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56245454265 - 24 = 56245454249 is a prime.

It is a super-2 number, since 2×562454542652 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56245454269) 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 95 ways as a sum of consecutive naturals, for example, 5106 + ... + 335435.

It is an arithmetic number, because the mean of its divisors is an integer number (1268178408).

Almost surely, 256245454265 is an apocalyptic number.

56245454265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56245454265 is an abundant number, since it is smaller than the sum of its proper divisors (65499672903).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56245454265 is a wasteful number, since it uses less digits than its factorization.

56245454265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340591 (or 340580 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 56245454265 in words is "fifty-six billion, two hundred forty-five million, four hundred fifty-four thousand, two hundred sixty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 121 143 165 195 231 273 363 385 429 455 605 715 847 1001 1155 1365 1573 1815 2145 2541 3003 4235 4719 5005 7865 11011 12705 15015 23595 33033 55055 165165 340541 1021623 1702705 2383787 3745951 4427033 5108115 7151361 11237853 11918935 13281099 18729755 22135165 26221657 30989231 35756805 41205461 48697363 56189265 66405495 78664971 92967693 123616383 131108285 146092089 154946155 206027305 243486815 288438227 340881541 393324855 464838465 535670993 618081915 730460445 865314681 1022644623 1442191135 1607012979 1704407705 2678354965 3749696951 4326573405 5113223115 8035064895 11249090853 18748484755 56245454265