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55408297581 = 32713253149659
BaseRepresentation
bin110011100110100101…
…111000011001101101
312022000111111011011200
4303212211320121231
51401434011010311
641242040040113
74001032521120
oct634645703155
9168014434150
1055408297581
11215535a307a
12a8a4163039
1352c0386900
142978b163b7
15169459d556
hexce697866d

55408297581 has 144 divisors (see below), whose sum is σ = 101745072000. Its totient is φ = 28439244288.

The previous prime is 55408297573. The next prime is 55408297583. The reversal of 55408297581 is 18579280455.

55408297581 is a `hidden beast` number, since 5 + 54 + 0 + 8 + 2 + 9 + 7 + 581 = 666.

It is not a de Polignac number, because 55408297581 - 23 = 55408297573 is a prime.

It is a super-2 number, since 2×554082975812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55408297583) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84079030 + ... + 84079688.

It is an arithmetic number, because the mean of its divisors is an integer number (706563000).

Almost surely, 255408297581 is an apocalyptic number.

It is an amenable number.

55408297581 is a deficient number, since it is larger than the sum of its proper divisors (46336774419).

55408297581 is a wasteful number, since it uses less digits than its factorization.

55408297581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 55408297581 in words is "fifty-five billion, four hundred eight million, two hundred ninety-seven thousand, five hundred eighty-one".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 149 159 169 273 371 447 477 507 659 689 819 1043 1113 1183 1341 1521 1937 1977 2067 3129 3339 3549 4613 4823 5811 5931 6201 7897 8567 8957 9387 10647 13559 13839 14469 17433 23691 25181 25701 26871 34927 40677 41517 43407 55279 59969 62699 71073 75543 77103 80613 98191 102661 104781 111371 122031 165837 176267 179907 188097 226629 244489 294573 307983 314343 334113 454051 497511 528801 539721 564291 687337 718627 733467 779597 883719 923949 1002339 1276483 1334593 1362153 1586403 2062011 2155881 2200401 2338791 3178357 3829449 4003779 4086459 5204123 5902663 6186033 6467643 7016373 8935381 9342151 9535071 11488347 12011337 15612369 16594279 17707989 26806143 28026453 28605213 36428861 41318641 46837107 49782837 53123967 67653599 80418429 84079359 109286583 116159953 123955923 149348511 202960797 327859749 348479859 371867769 473575193 608882391 879496787 1045439577 1420725579 2638490361 4262176737 6156477509 7915471083 18469432527 55408297581