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54427184064 = 263411954461
BaseRepresentation
bin110010101100000111…
…001110101111000000
312012111010100102110000
4302230013032233000
51342431324342224
641000431240000
73634520300631
oct625407165700
9165433312400
1054427184064
112109a7a9a60
12a66b679000
135195030076
1428c46c3888
15163839d0c9
hexcac1cebc0

54427184064 has 140 divisors (see below), whose sum is σ = 176006610648. Its totient is φ = 16493068800.

The previous prime is 54427184051. The next prime is 54427184069. The reversal of 54427184064 is 46048172445.

54427184064 is a `hidden beast` number, since 5 + 442 + 71 + 84 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54427184069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 420207 + ... + 534254.

Almost surely, 254427184064 is an apocalyptic number.

54427184064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54427184064 is an abundant number, since it is smaller than the sum of its proper divisors (121579426584).

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

54427184064 is a wasteful number, since it uses less digits than its factorization.

54427184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954496 (or 954477 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54427184064 in words is "fifty-four billion, four hundred twenty-seven million, one hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 954461 1908922 2863383 3817844 5726766 7635688 8590149 10499071 11453532 15271376 17180298 20998142 22907064 25770447 30542752 31497213 34360596 41996284 45814128 51540894 61085504 62994426 68721192 77311341 83992568 91628256 94491639 103081788 125988852 137442384 154622682 167985136 183256512 188983278 206163576 251977704 274884768 283474917 309245364 335970272 377966556 412327152 503955408 549769536 566949834 618490728 671940544 755933112 824654304 850424751 1007910816 1133899668 1236981456 1511866224 1649308608 1700849502 2015821632 2267799336 2473962912 3023732448 3401699004 4535598672 4947925824 6047464896 6803398008 9071197344 13606796016 18142394688 27213592032 54427184064