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54053032120425 = 325213291609396041
BaseRepresentation
bin11000100101001001100111…
…10001110101000001101001
321002101102022202010210222100
430102210303301311001221
524041101102210323200
6310543341541444013
714246126345132232
oct1422446361650151
9232342282123870
1054053032120425
111624a842521758
12608ba0b110609
13242124350ab10
14d4c275c42089
1563b09b79ad00
hex312933c75069

54053032120425 has 144 divisors (see below), whose sum is σ = 107924850961200. Its totient is φ = 25677079142400.

The previous prime is 54053032120379. The next prime is 54053032120513. The reversal of 54053032120425 is 52402123035045.

54053032120425 is a `hidden beast` number, since 5 + 40 + 530 + 3 + 21 + 20 + 42 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9461234631744 + 44591797488681 = 3075912^2 + 6677709^2 .

It is not a de Polignac number, because 54053032120425 - 227 = 54052897902697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54053032120425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136285405 + ... + 136681445.

It is an arithmetic number, because the mean of its divisors is an integer number (749478131675).

Almost surely, 254053032120425 is an apocalyptic number.

It is an amenable number.

54053032120425 is a deficient number, since it is larger than the sum of its proper divisors (53871818840775).

54053032120425 is a wasteful number, since it uses less digits than its factorization.

54053032120425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397708 (or 397700 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 54053032120425 in words is "fifty-four trillion, fifty-three billion, thirty-two million, one hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1609 1885 2175 2925 3393 4827 5655 6525 8045 9425 14481 16965 20917 24135 28275 40225 46661 62751 72405 84825 104585 120675 139983 188253 233305 313755 362025 396041 419949 522925 606593 699915 941265 1166525 1188123 1568775 1819779 1980205 2099745 3032965 3499575 3564369 4706325 5148533 5459337 5940615 9098895 9901025 10498725 11485189 15164825 15445599 17821845 25742665 27296685 29703075 34455567 45494475 46336797 57425945 77227995 89109225 103366701 128713325 136483425 149307457 172277835 231683985 287129725 386139975 447922371 516833505 637229969 746537285 861389175 1158419925 1343767113 1911689907 2239611855 2584167525 3186149845 3732686425 5735069721 6718835565 8283989597 9558449535 11198059275 15930749225 18479669101 24851968791 28675348605 33594177825 41419947985 47792247675 55439007303 74555906373 92398345505 124259843955 143376743025 166317021909 207099739925 240235698313 277195036515 372779531865 461991727525 621299219775 720707094939 831585109545 1201178491565 1385975182575 1863897659325 2162121284817 3603535474695 4157925547725 6005892457825 10810606424085 18017677373475 54053032120425