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54541540725 = 352717972512
BaseRepresentation
bin110010110010111011…
…011101110101110101
312012210002112100021220
4302302323131311311
51343200113300400
641020034300553
73640406306160
oct626273356565
9165702470256
1054541540725
11211493068a1
12a6a1a27759
1351b292c429
1428d5970ad7
15164343b7a0
hexcb2eddd75

54541540725 has 144 divisors (see below), whose sum is σ = 110685665664. Its totient is φ = 23132160000.

The previous prime is 54541540631. The next prime is 54541540747. The reversal of 54541540725 is 52704514545.

It is not a de Polignac number, because 54541540725 - 27 = 54541540597 is a prime.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 217296850 + ... + 217297100.

It is an arithmetic number, because the mean of its divisors is an integer number (768650456).

Almost surely, 254541540725 is an apocalyptic number.

It is an amenable number.

54541540725 is an abundant number, since it is smaller than the sum of its proper divisors (56144124939).

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

54541540725 is a wasteful number, since it uses less digits than its factorization.

54541540725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 42.

The spelling of 54541540725 in words is "fifty-four billion, five hundred forty-one million, five hundred forty thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 97 105 119 175 251 255 291 357 425 485 525 595 679 753 1255 1275 1455 1649 1757 1785 2037 2425 2975 3395 3765 4267 4947 5271 6275 7275 8245 8785 8925 10185 11543 12801 16975 18825 21335 24347 24735 26355 29869 34629 41225 43925 50925 57715 63001 64005 73041 89607 106675 121735 123675 131775 149345 170429 173145 189003 288575 315005 320025 365205 413899 441007 448035 511287 608675 746725 852145 865725 945015 1071017 1241697 1323021 1575025 1826025 2069495 2205035 2240175 2556435 2897293 3213051 4260725 4725075 5355085 6111097 6208485 6615105 7497119 8691879 10347475 11025175 12782175 14486465 16065255 18333291 22491357 26775425 30555485 31042425 33075525 37485595 42777679 43459395 72432325 80326275 91666455 103888649 112456785 128333037 152777425 187427975 213888395 217296975 311665947 458332275 519443245 562283925 641665185 727220543 1069441975 1558329735 2181661629 2597216225 3208325925 3636102715 7791648675 10908308145 18180513575 54541540725