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54144135550 = 252172231011613
BaseRepresentation
bin110010011011001111…
…011111000101111110
312011202101202001212201
4302123033133011332
51341341344314200
640512400422114
73624512362411
oct623317370576
9164671661781
1054144135550
1120a64a5346a
12a5b091793a
13514b4b8c3b
142898c83b78
15161d5dbc6a
hexc9b3df17e

54144135550 has 144 divisors (see below), whose sum is σ = 112807056672. Its totient is φ = 19292416000.

The previous prime is 54144135547. The next prime is 54144135581. The reversal of 54144135550 is 5553144145.

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 71 ways as a sum of consecutive naturals, for example, 33566544 + ... + 33568156.

It is an arithmetic number, because the mean of its divisors is an integer number (783382338).

Almost surely, 254144135550 is an apocalyptic number.

54144135550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54144135550 is an abundant number, since it is smaller than the sum of its proper divisors (58662921122).

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

54144135550 is a wasteful number, since it uses less digits than its factorization.

54144135550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 54144135550 its reverse (5553144145), we get a palindrome (59697279695).

The spelling of 54144135550 in words is "fifty-four billion, one hundred forty-four million, one hundred thirty-five thousand, five hundred fifty".

Divisors: 1 2 5 10 17 23 25 34 46 50 85 101 115 170 202 230 289 391 425 505 575 578 782 850 1010 1150 1445 1613 1717 1955 2323 2525 2890 3226 3434 3910 4646 5050 6647 7225 8065 8585 9775 11615 13294 14450 16130 17170 19550 23230 27421 29189 33235 37099 39491 40325 42925 54842 58075 58378 66470 74198 78982 80650 85850 116150 137105 145945 162913 166175 185495 197455 274210 291890 325826 332350 370990 394910 466157 630683 671347 685525 729725 814565 927475 932314 987275 1261366 1342694 1371050 1459450 1629130 1854950 1974550 2330785 2769521 3153415 3356735 3746999 4072825 4661570 5539042 6306830 6713470 7493998 8145650 10721611 11653925 13847605 15767075 16783675 18734995 21443222 23307850 27695210 31534150 33567350 37469990 47081857 53608055 63698983 69238025 93674975 94163714 107216110 127397966 138476050 187349950 235409285 268040275 318494915 470818570 536080550 636989830 1082882711 1177046425 1592474575 2165765422 2354092850 3184949150 5414413555 10828827110 27072067775 54144135550