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54243434245 = 5711313432083
BaseRepresentation
bin110010100001001010…
…010001111100000101
312012000022120222002011
4302201022101330011
51342042304343440
640530305014221
73630126404110
oct624112217405
9165008528064
1054243434245
1121006006000
12a61a024371
135165c45470
1428a8131577
1516271a39ea
hexca1291f05

54243434245 has 128 divisors (see below), whose sum is σ = 90211258368. Its totient is φ = 30472485120.

The previous prime is 54243434213. The next prime is 54243434303.

54243434245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54243434245 - 25 = 54243434213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54243434198 and 54243434207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26039974 + ... + 26042056.

It is an arithmetic number, because the mean of its divisors is an integer number (704775456).

Almost surely, 254243434245 is an apocalyptic number.

54243434245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54243434245 is a deficient number, since it is larger than the sum of its proper divisors (35967824123).

54243434245 is a wasteful number, since it uses less digits than its factorization.

54243434245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2162 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The spelling of 54243434245 in words is "fifty-four billion, two hundred forty-three million, four hundred thirty-four thousand, two hundred forty-five".

Divisors: 1 5 7 11 13 35 43 55 65 77 91 121 143 215 301 385 455 473 559 605 715 847 1001 1331 1505 1573 2083 2365 2795 3311 3913 4235 5005 5203 6149 6655 7865 9317 10415 11011 14581 16555 17303 19565 22913 26015 27079 30745 36421 43043 46585 55055 57233 67639 72905 86515 89569 114565 121121 135395 160391 182105 189553 215215 252043 286165 297869 338195 400631 447845 473473 605605 626983 744029 801955 947765 985259 1164397 1260215 1489345 1764301 2003155 2085083 2367365 2772473 3134915 3276559 3720145 4926295 5208203 5821985 6896813 8150779 8821505 10425415 10837849 12808367 13862365 16382795 19407311 22935913 26041015 34484065 36042149 40753895 54189245 64041835 75864943 89658569 97036555 114679565 119216339 140892037 180210745 252295043 379324715 448292845 596081695 704460185 834514373 986244259 1261475215 1549812407 4172571865 4931221295 7749062035 10848686849 54243434245