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54225456021243 = 331337157203913043
BaseRepresentation
bin11000101010001010110010…
…00010110011111011111011
321002222220101021010111221000
430111011121002303323323
524101412213220134433
6311154455224220043
714264442231120513
oct1425053102637373
9232886337114830
1054225456021243
11163069832a6441
1260b930b60a623
13243459169b630
14d5675179a843
156407ddcde113
hex3151590b3efb

54225456021243 has 128 divisors (see below), whose sum is σ = 89468399462400. Its totient is φ = 32242538405376.

The previous prime is 54225456021173. The next prime is 54225456021263. The reversal of 54225456021243 is 34212065452245.

54225456021243 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 545 + 60 + 2 + 1 + 2 + 43 = 666.

It is not a de Polignac number, because 54225456021243 - 29 = 54225456020731 is a prime.

It is a super-3 number, since 3×542254560212433 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54225456021263) 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, 4157430880 + ... + 4157443922.

It is an arithmetic number, because the mean of its divisors is an integer number (698971870800).

Almost surely, 254225456021243 is an apocalyptic number.

54225456021243 is a deficient number, since it is larger than the sum of its proper divisors (35242943441157).

54225456021243 is a wasteful number, since it uses less digits than its factorization.

54225456021243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15298 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 54225456021243 in words is "fifty-four trillion, two hundred twenty-five billion, four hundred fifty-six million, twenty-one thousand, two hundred forty-three".

Divisors: 1 3 9 13 27 37 39 111 117 157 333 351 471 481 999 1413 1443 2039 2041 4239 4329 5809 6117 6123 12987 13043 17427 18351 18369 26507 39129 52281 55053 55107 75443 75517 79521 117387 156843 169559 226329 226551 238563 320123 352161 482591 508677 678987 679653 715689 960369 980759 1447773 1526031 2036961 2038959 2047751 2881107 2942277 4161599 4343319 4578093 6143253 6273683 8643321 8826831 11844551 12484797 13029957 18429759 18821049 26480493 26594677 26620763 35533653 37454391 55289277 56463147 75766787 79784031 79862289 106600959 112363173 153979163 169389441 227300361 239352093 239586867 319802877 345730801 461937489 681901083 718056279 718760601 984003049 984968231 1037192403 1385812467 2045703249 2952009147 2954904693 3111577209 4157437401 4175364289 8856027441 8864714079 9334731627 12526092867 12792039637 26568082323 26594142237 37578278601 38376118911 54279735757 112734835803 115128356733 154488478693 162839207271 345385070199 463465436079 488517621813 1390396308237 1465552865439 2008350223009 4171188924711 6025050669027 18075152007081 54225456021243