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54542653126272 = 273315839969689
BaseRepresentation
bin11000110011011001100110…
…11101101111011010000000
321011010020010021102222212000
430121230303131233122000
524122111323200020042
6312000314323104000
714326401535043463
oct1431546335573200
9234106107388760
1054542653126272
1116419455847233
12614a894212000
1324584722a301c
14d67c428492da
15648ba610b74c
hex319b3376f680

54542653126272 has 128 divisors (see below), whose sum is σ = 161078287392000. Its totient is φ = 18169397471232.

The previous prime is 54542653126271. The next prime is 54542653126337. The reversal of 54542653126272 is 27262135624545.

54542653126272 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 2 + 6 + 5 + 3 + 1 + 2 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54542653126271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486004 + ... + 10455692.

It is an arithmetic number, because the mean of its divisors is an integer number (1258424120250).

Almost surely, 254542653126272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54542653126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80539143696000).

54542653126272 is an abundant number, since it is smaller than the sum of its proper divisors (106535634265728).

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

54542653126272 is a wasteful number, since it uses less digits than its factorization.

54542653126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971295 (or 9971277 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 54542653126272 in words is "fifty-four trillion, five hundred forty-two billion, six hundred fifty-three million, one hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1583 1728 3166 3456 4749 6332 9498 12664 14247 18996 25328 28494 37992 42741 50656 56988 75984 85482 101312 113976 151968 170964 202624 227952 303936 341928 455904 607872 683856 911808 1367712 1823616 2735424 5470848 9969689 19939378 29909067 39878756 59818134 79757512 89727201 119636268 159515024 179454402 239272536 269181603 319030048 358908804 478545072 538363206 638060096 717817608 957090144 1076726412 1276120192 1435635216 1914180288 2153452824 2871270432 3828360576 4306905648 5742540864 8613811296 11485081728 15782017687 17227622592 31564035374 34455245184 47346053061 63128070748 94692106122 126256141496 142038159183 189384212244 252512282992 284076318366 378768424488 426114477549 505024565984 568152636732 757536848976 852228955098 1010049131968 1136305273464 1515073697952 1704457910196 2020098263936 2272610546928 3030147395904 3408915820392 4545221093856 6060294791808 6817831640784 9090442187712 13635663281568 18180884375424 27271326563136 54542653126272