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55125540300 = 223522928122549
BaseRepresentation
bin110011010101101111…
…001111110111001100
312021021210102121002210
4303111233033313030
51400344114242200
641154015350420
73661030234635
oct632557176714
9167253377083
1055125540300
1121418a26376
12a825522410
1352769151cc
14294d35088c
151679848650
hexcd5bcfdcc

55125540300 has 144 divisors (see below), whose sum is σ = 165590964000. Its totient is φ = 14142105600.

The previous prime is 55125540299. The next prime is 55125540317. The reversal of 55125540300 is 304552155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2433426 + ... + 2455974.

It is an arithmetic number, because the mean of its divisors is an integer number (1149937250).

Almost surely, 255125540300 is an apocalyptic number.

55125540300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55125540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82795482000).

55125540300 is an abundant number, since it is smaller than the sum of its proper divisors (110465423700).

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

55125540300 is a wasteful number, since it uses less digits than its factorization.

55125540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22876 (or 22869 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 55125540300 in words is "fifty-five billion, one hundred twenty-five million, five hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 281 290 300 348 435 562 580 725 843 870 1124 1405 1450 1686 1740 2175 2810 2900 3372 4215 4350 5620 7025 8149 8430 8700 14050 16298 16860 21075 22549 24447 28100 32596 40745 42150 45098 48894 67647 81490 84300 90196 97788 112745 122235 135294 162980 203725 225490 244470 270588 338235 407450 450980 488940 563725 611175 653921 676470 814900 1127450 1222350 1307842 1352940 1691175 1961763 2254900 2444700 2615684 3269605 3382350 3923526 6336269 6539210 6764700 7847052 9808815 12672538 13078420 16348025 19008807 19617630 25345076 31681345 32696050 38017614 39235260 49044075 63362690 65392100 76035228 95044035 98088150 126725380 158406725 183751801 190088070 196176300 316813450 367503602 380176140 475220175 551255403 633626900 735007204 918759005 950440350 1102510806 1837518010 1900880700 2205021612 2756277015 3675036020 4593795025 5512554030 9187590050 11025108060 13781385075 18375180100 27562770150 55125540300