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55582714341 = 32721131336607
BaseRepresentation
bin110011110000111111…
…001110100111100101
312022110122200102222200
4303300333032213211
51402313133324331
641311230245113
74005251163600
oct636077164745
9168418612880
1055582714341
1121632aa1a60
12a932656799
13531a5543ab
142993d59337
1516a4a525e6
hexcf0fce9e5

55582714341 has 72 divisors (see below), whose sum is σ = 102212757504. Its totient is φ = 28781101440.

The previous prime is 55582714339. The next prime is 55582714349. The reversal of 55582714341 is 14341728555.

55582714341 is a `hidden beast` number, since 55 + 582 + 7 + 14 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 55582714341 - 21 = 55582714339 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55582714349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1500060 + ... + 1536666.

It is an arithmetic number, because the mean of its divisors is an integer number (1419621632).

Almost surely, 255582714341 is an apocalyptic number.

It is an amenable number.

55582714341 is a deficient number, since it is larger than the sum of its proper divisors (46630043163).

55582714341 is a wasteful number, since it uses less digits than its factorization.

55582714341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36951 (or 36941 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 55582714341 in words is "fifty-five billion, five hundred eighty-two million, seven hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 313 441 539 693 939 1617 2191 2817 3443 4851 6573 10329 15337 19719 24101 30987 36607 46011 72303 109821 138033 168707 216909 256249 329463 402677 506121 768747 1208031 1518363 1793743 2306241 2818739 3624093 5381229 8456217 11457991 16143687 19731173 25368651 34373973 59193519 80205937 103121919 126037901 177580557 240617811 378113703 561441559 721853433 882265307 1134341109 1684324677 2646795921 5052974031 6175857149 7940387763 18527571447 55582714341