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54232423245 = 325711213109451
BaseRepresentation
bin110010100000100000…
…010001101101001101
312011222112212112211100
4302200200101231031
51342032000020440
640525233013313
73626633664060
oct624040215515
9164875775740
1054232423245
1120aaa875300
12a6163b4239
13516388b690
1428a68a68d7
15162622b230
hexca0811b4d

54232423245 has 144 divisors (see below), whose sum is σ = 127170965376. Its totient is φ = 20804256000.

The previous prime is 54232423213. The next prime is 54232423247.

54232423245 is a `hidden beast` number, since 5 + 4 + 2 + 324 + 2 + 324 + 5 = 666.

54232423245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54232423245 - 25 = 54232423213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54232423247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 440770 + ... + 550220.

It is an arithmetic number, because the mean of its divisors is an integer number (883131704).

Almost surely, 254232423245 is an apocalyptic number.

54232423245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54232423245 is an abundant number, since it is smaller than the sum of its proper divisors (72938542131).

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

54232423245 is a wasteful number, since it uses less digits than its factorization.

54232423245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109504 (or 109490 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 54232423245 in words is "fifty-four billion, two hundred thirty-two million, four hundred twenty-three thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 121 143 165 195 231 273 315 363 385 429 455 495 585 605 693 715 819 847 1001 1089 1155 1287 1365 1573 1815 2145 2541 3003 3465 4095 4235 4719 5005 5445 6435 7623 7865 9009 11011 12705 14157 15015 23595 33033 38115 45045 55055 70785 99099 109451 165165 328353 495495 547255 766157 985059 1203961 1422863 1641765 2298471 3611883 3830785 4268589 4925295 6019805 6895413 7114315 8427727 9960041 10835649 11492355 12805767 13243571 15651493 18059415 21342945 25283181 29880123 34477065 39730713 42138635 46954479 49800205 54178245 64028835 66217855 75849543 78257465 89640369 92704997 109560451 119192139 126415905 140863437 149400615 172166423 198653565 234772395 278114991 328681353 379247715 448201845 463524985 516499269 547802255 595960695 704317185 834344973 860832115 986044059 1205164961 1390574955 1549497807 1643406765 2582496345 3615494883 4171724865 4930220295 6025824805 7747489035 10846484649 18077474415 54232423245