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5504125012000 = 255311931153421
BaseRepresentation
bin101000000011000011101…
…1010101000100000100000
3201111012002221021011022221
41100012013122220200200
51210134422000341000
615412320553040424
71105442230442536
oct120060732504040
921435087234287
105504125012000
11183231709358a
1274a8a03b6114
1330c0629c3a34
14150588782156
159829557061a
hex501876a8820

5504125012000 has 96 divisors (see below), whose sum is σ = 13534982710704. Its totient is φ = 2199802624000.

The previous prime is 5504125011989. The next prime is 5504125012031. The reversal of 5504125012000 is 2105214055.

It can be written as a sum of positive squares in 8 ways, for example, as 100750377744 + 5403374634256 = 317412^2 + 2324516^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4195290 + ... + 5348710.

Almost surely, 25504125012000 is an apocalyptic number.

5504125012000 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 5504125012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767491355352).

5504125012000 is an abundant number, since it is smaller than the sum of its proper divisors (8030857698704).

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

5504125012000 is a wasteful number, since it uses less digits than its factorization.

5504125012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154639 (or 1154621 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 5504125012000 in words is "five trillion, five hundred four billion, one hundred twenty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1193 2000 2386 4000 4772 5965 9544 11930 19088 23860 29825 38176 47720 59650 95440 119300 149125 190880 238600 298250 477200 596500 954400 1153421 1193000 2306842 2386000 4613684 4772000 5767105 9227368 11534210 18454736 23068420 28835525 36909472 46136840 57671050 92273680 115342100 144177625 184547360 230684200 288355250 461368400 576710500 922736800 1153421000 1376031253 2306842000 2752062506 4613684000 5504125012 6880156265 11008250024 13760312530 22016500048 27520625060 34400781325 44033000096 55041250120 68801562650 110082500240 137603125300 172003906625 220165000480 275206250600 344007813250 550412501200 688015626500 1100825002400 1376031253000 2752062506000 5504125012000