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54563066424 = 233659158573
BaseRepresentation
bin110010110100001101…
…100101001000111000
312012211121000222000000
4302310031211020320
51343221121111144
641022123513000
73641060261256
oct626415451070
9165747028000
1054563066424
112115a479429
12a6a9088760
1351b7228129
1428d87755d6
15164528e769
hexcb4365238

54563066424 has 112 divisors (see below), whose sum is σ = 155989243800. Its totient is φ = 17879310144.

The previous prime is 54563066399. The next prime is 54563066443. The reversal of 54563066424 is 42466036545.

It is a happy number.

54563066424 is a `hidden beast` number, since 5 + 4 + 5 + 630 + 6 + 6 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×545630664242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54563066424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 264802 + ... + 423374.

Almost surely, 254563066424 is an apocalyptic number.

54563066424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54563066424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77994621900).

54563066424 is an abundant number, since it is smaller than the sum of its proper divisors (101426177376).

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

54563066424 is a wasteful number, since it uses less digits than its factorization.

54563066424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158656 (or 158637 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 54563066424 in words is "fifty-four billion, five hundred sixty-three million, sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 729 972 1062 1416 1458 1593 1944 2124 2916 3186 4248 4779 5832 6372 9558 12744 14337 19116 28674 38232 43011 57348 86022 114696 158573 172044 317146 344088 475719 634292 951438 1268584 1427157 1902876 2854314 3805752 4281471 5708628 8562942 9355807 11417256 12844413 17125884 18711614 25688826 28067421 34251768 37423228 38533239 51377652 56134842 74846456 77066478 84202263 102755304 112269684 115599717 154132956 168404526 224539368 231199434 252606789 308265912 336809052 462398868 505213578 673618104 757820367 924797736 1010427156 1515640734 2020854312 2273461101 3031281468 4546922202 6062562936 6820383303 9093844404 13640766606 18187688808 27281533212 54563066424