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55282484662152 = 233111914212604163
BaseRepresentation
bin11001001000111011101001…
…10111000100111110001000
321020201221202102000001202120
430210131310313010332020
524221222012033142102
6313324231200331240
714434012335246666
oct1444356467047610
9236657672001676
1055282484662152
1116684196420320
12624a148313b20
1324b016792a2b7
14d91987bc7c36
1565d056ec06bc
hex324774dc4f88

55282484662152 has 128 divisors (see below), whose sum is σ = 151919844433920. Its totient is φ = 16624970208000.

The previous prime is 55282484662061. The next prime is 55282484662169. The reversal of 55282484662152 is 25126648428255.

55282484662152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×552824846621522 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19926423 + ... + 22530585.

It is an arithmetic number, because the mean of its divisors is an integer number (1186873784640).

Almost surely, 255282484662152 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 55282484662152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75959922216960).

55282484662152 is an abundant number, since it is smaller than the sum of its proper divisors (96637359771768).

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

55282484662152 is a wasteful number, since it uses less digits than its factorization.

55282484662152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604795 (or 2604791 counting only the distinct ones).

The product of its digits is 73728000, while the sum is 60.

The spelling of 55282484662152 in words is "fifty-five trillion, two hundred eighty-two billion, four hundred eighty-four million, six hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 421 573 764 842 1146 1263 1528 1684 2101 2292 2526 3368 4202 4584 4631 5052 6303 8404 9262 10104 12606 13893 16808 18524 25212 27786 37048 50424 55572 80411 111144 160822 241233 321644 482466 643288 884521 964932 1769042 1929864 2604163 2653563 3538084 5208326 5307126 7076168 7812489 10416652 10614252 15624978 20833304 21228504 28645793 31249956 57291586 62499912 85937379 114583172 171874758 229166344 343749516 497395133 687499032 994790266 1096352623 1492185399 1989580532 2192705246 2984370798 3289057869 3979161064 4385410492 5471346463 5968741596 6578115738 8770820984 10942692926 11937483192 12059878853 13156231476 16414039389 21885385852 24119757706 26312462952 32828078778 36179636559 43770771704 48239515412 65656157556 72359273118 96479030824 131312315112 144718546236 209403350993 289437092472 418806701986 628210052979 837613403972 1256420105958 1675226807944 2303436860923 2512840211916 4606873721846 5025680423832 6910310582769 9213747443692 13820621165538 18427494887384 27641242331076 55282484662152