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54541341000 = 2332536060149
BaseRepresentation
bin110010110010111010…
…101101000101001000
312012210002011012022200
4302302322231011020
51343200040403000
641020030120200
73640404514656
oct626272550510
9165702135280
1054541341000
112114918a833
12a6a1950060
1351b288c553
1428d591bdd6
1516433ec500
hexcb2ead148

54541341000 has 96 divisors (see below), whose sum is σ = 184349763000. Its totient is φ = 14544355200.

The previous prime is 54541340993. The next prime is 54541341037. The reversal of 54541341000 is 14314545.

It is a happy number.

54541341000 is a `hidden beast` number, since 545 + 4 + 13 + 4 + 100 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33001082244 + 21540258756 = 181662^2 + 146766^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3021075 + ... + 3039074.

Almost surely, 254541341000 is an apocalyptic number.

54541341000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54541341000 is an abundant number, since it is smaller than the sum of its proper divisors (129808422000).

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

54541341000 is a wasteful number, since it uses less digits than its factorization.

54541341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060176 (or 6060159 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54541341000 its reverse (14314545), we get a palindrome (54555655545).

The spelling of 54541341000 in words is "fifty-four billion, five hundred forty-one million, three hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 6060149 12120298 18180447 24240596 30300745 36360894 48481192 54541341 60601490 72721788 90902235 109082682 121202980 145443576 151503725 181804470 218165364 242405960 272706705 303007450 363608940 436330728 454511175 545413410 606014900 727217880 757518625 909022350 1090826820 1212029800 1363533525 1515037250 1818044700 2181653640 2272555875 2727067050 3030074500 3636089400 4545111750 5454134100 6060149000 6817667625 9090223500 10908268200 13635335250 18180447000 27270670500 54541341000