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9000005500044 = 22321328172299467
BaseRepresentation
bin1000001011110111101000…
…1000010111110010001100
31011212101120212011020222200
42002331322020113302030
52134424002402000134
631050313452241500
71616141345343336
oct202757210276214
934771525136880
109000005500044
11295a976525419
121014317770290
1350390a067260
14231861718456
1510919de16499
hex82f7a217c8c

9000005500044 has 144 divisors (see below), whose sum is σ = 24593202335520. Its totient is φ = 2758704399360.

The previous prime is 9000005500021. The next prime is 9000005500051. The reversal of 9000005500044 is 4400055000009.

It is a junction number, because it is equal to n+sod(n) for n = 9000005499990 and 9000005500017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950666599 + ... + 950676065.

It is an arithmetic number, because the mean of its divisors is an integer number (170786127330).

Almost surely, 29000005500044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000005500044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296601167760).

9000005500044 is an abundant number, since it is smaller than the sum of its proper divisors (15593196835476).

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

9000005500044 is a wasteful number, since it uses less digits than its factorization.

9000005500044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16995 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 9000005500044 in words is "nine trillion, five million, five hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 281 468 562 843 1124 1686 2529 3372 3653 5058 7229 7306 9467 10116 10959 14458 14612 18934 21687 21918 28401 28916 32877 37868 43374 43836 56802 65061 65754 85203 86748 93977 113604 123071 130122 131508 170406 187954 246142 260244 281931 340812 369213 375908 492284 563862 738426 845793 1107639 1127724 1476852 1691586 2031349 2215278 2660227 3383172 4062698 4430556 5320454 6094047 7980681 8125396 10640908 12188094 15961362 18282141 23942043 24376188 26407537 31922724 34582951 36564282 47884086 52815074 68436943 69165902 73128564 79222611 95768172 103748853 105630148 136873886 138331804 158445222 205310829 207497706 237667833 273747772 311246559 316890444 410621658 414995412 475335666 615932487 622493118 821243316 889680259 950671332 1231864974 1244986236 1779360518 2463729948 2669040777 3558721036 5338081554 8007122331 10676163108 16014244662 19230780983 32028489324 38461561966 57692342949 76923123932 115384685898 173077028847 230769371796 250000152779 346154057694 500000305558 692308115388 750000458337 1000000611116 1500000916674 2250001375011 3000001833348 4500002750022 9000005500044