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54254555545245 = 35115959314716389
BaseRepresentation
bin11000101011000000111111…
…00000101011111010011101
321010002200111021000111110020
430111200133200223322131
524102401312204421440
6311220110532102353
714266522315026066
oct1425403740537235
9233080437014406
1054254555545245
1116318256212530
126102a90a649b9
13243724b3314a3
14d57d123a356d
156414438453d0
hex31581f82be9d

54254555545245 has 128 divisors (see below), whose sum is σ = 96547015065600. Its totient is φ = 25794192076800.

The previous prime is 54254555545243. The next prime is 54254555545271.

54254555545245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54254555545245 - 21 = 54254555545243 is a prime.

It is a super-2 number, since 2×542545555452452 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54254555545243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8491866511 + ... + 8491872899.

It is an arithmetic number, because the mean of its divisors is an integer number (754273555200).

Almost surely, 254254555545245 is an apocalyptic number.

54254555545245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54254555545245 is a deficient number, since it is larger than the sum of its proper divisors (42292459520355).

54254555545245 is a wasteful number, since it uses less digits than its factorization.

54254555545245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531.

The product of its digits is 400000000, while the sum is 60.

The spelling of 54254555545245 in words is "fifty-four trillion, two hundred fifty-four billion, five hundred fifty-five million, five hundred forty-five thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 59 165 177 295 593 649 885 1471 1779 1947 2965 3245 4413 6389 6523 7355 8895 9735 16181 19167 19569 22065 31945 32615 34987 48543 70279 80905 86789 95835 97845 104961 174935 210837 242715 260367 351395 376951 384857 433945 524805 872303 954679 1054185 1130853 1154571 1301835 1884755 1924285 2616909 2864037 3788677 4146461 4361515 4773395 5654265 5772855 9398219 9595333 11366031 12439383 13084545 14320185 18943385 20732305 28194657 28785999 41675447 46991095 47976665 51465877 56830155 62196915 103380409 125026341 140973285 143929995 154397631 208377235 223531943 257329385 310141227 516902045 554494921 566124647 625131705 670595829 771988155 1117659715 1550706135 1663484763 1698373941 2458851373 2772474605 2830623235 3352979145 5573143867 6099444131 7376554119 8317423815 8491869705 12294256865 16719431601 18298332393 27865719335 30497220655 36882770595 61304582537 83597158005 91491661965 183913747611 306522912685 328815488153 919568738055 986446464459 1644077440765 3616970369683 4932232322295 10850911109049 18084851848415 54254555545245